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Finding the Fourth Proportional to 157,057.92, 235,633.40 and 90,545.80

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Solution

The fourth proportional to 157,057.92, 235,633.40 and 90,545.80 is: 135,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,057.92 : 235,633.40 = 90,545.80 : x
  2. Step 2: Convert to fraction form
    157,057.92/235,633.40 = 90,545.80/x
  3. Step 3: Cross multiply
    157,057.92x = 235,633.40 × 90,545.80
  4. Step 4: Simplify right side
    157,057.92x = 21,335,614,709.72
  5. Step 5: Solve for x
    x = 21,335,614,709.72/157,057.92
  6. Step 6: Final answer
    x = 135,845.52

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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.