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Finding the Fourth Proportional to 90,724,203.60, 135,999,214.20 and 30,108,728.40

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Solution

The fourth proportional to 90,724,203.60, 135,999,214.20 and 30,108,728.40 is: 45,134,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,724,203.60 : 135,999,214.20 = 30,108,728.40 : x
  2. Step 2: Convert to fraction form
    90,724,203.60/135,999,214.20 = 30,108,728.40/x
  3. Step 3: Cross multiply
    90,724,203.60x = 135,999,214.20 × 30,108,728.40
  4. Step 4: Simplify right side
    90,724,203.60x = 4,094,763,402,961,222.50
  5. Step 5: Solve for x
    x = 4,094,763,402,961,222.50/90,724,203.60
  6. Step 6: Final answer
    x = 45,134,189.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.