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Finding the Fourth Proportional to 157,137.69, 216,845.85 and 85,516.18

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Solution

The fourth proportional to 157,137.69, 216,845.85 and 85,516.18 is: 118,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,137.69 : 216,845.85 = 85,516.18 : x
  2. Step 2: Convert to fraction form
    157,137.69/216,845.85 = 85,516.18/x
  3. Step 3: Cross multiply
    157,137.69x = 216,845.85 × 85,516.18
  4. Step 4: Simplify right side
    157,137.69x = 18,543,827,656.62
  5. Step 5: Solve for x
    x = 18,543,827,656.62/157,137.69
  6. Step 6: Final answer
    x = 118,010.06

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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.