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Finding the Fourth Proportional to 232,847.18, 348,978.60 and 99,570.72

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Solution

The fourth proportional to 232,847.18, 348,978.60 and 99,570.72 is: 149,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,847.18 : 348,978.60 = 99,570.72 : x
  2. Step 2: Convert to fraction form
    232,847.18/348,978.60 = 99,570.72/x
  3. Step 3: Cross multiply
    232,847.18x = 348,978.60 × 99,570.72
  4. Step 4: Simplify right side
    232,847.18x = 34,748,050,092.30
  5. Step 5: Solve for x
    x = 34,748,050,092.30/232,847.18
  6. Step 6: Final answer
    x = 149,231.14

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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.