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Finding the Fourth Proportional to 157,053.72, 216,730.98 and 85,435.50

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Solution

The fourth proportional to 157,053.72, 216,730.98 and 85,435.50 is: 117,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,053.72 : 216,730.98 = 85,435.50 : x
  2. Step 2: Convert to fraction form
    157,053.72/216,730.98 = 85,435.50/x
  3. Step 3: Cross multiply
    157,053.72x = 216,730.98 × 85,435.50
  4. Step 4: Simplify right side
    157,053.72x = 18,516,519,641.79
  5. Step 5: Solve for x
    x = 18,516,519,641.79/157,053.72
  6. Step 6: Final answer
    x = 117,899.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.