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Finding the Fourth Proportional to 90,232.70, 135,057.45 and 70,403.90

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Solution

The fourth proportional to 90,232.70, 135,057.45 and 70,403.90 is: 105,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,232.70 : 135,057.45 = 70,403.90 : x
  2. Step 2: Convert to fraction form
    90,232.70/135,057.45 = 70,403.90/x
  3. Step 3: Cross multiply
    90,232.70x = 135,057.45 × 70,403.90
  4. Step 4: Simplify right side
    90,232.70x = 9,508,571,204.06
  5. Step 5: Solve for x
    x = 9,508,571,204.06/90,232.70
  6. Step 6: Final answer
    x = 105,378.33

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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.