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Finding the Fourth Proportional to 157,129.67, 216,838.49 and 85,509.34

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Solution

The fourth proportional to 157,129.67, 216,838.49 and 85,509.34 is: 118,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,129.67 : 216,838.49 = 85,509.34 : x
  2. Step 2: Convert to fraction form
    157,129.67/216,838.49 = 85,509.34/x
  3. Step 3: Cross multiply
    157,129.67x = 216,838.49 × 85,509.34
  4. Step 4: Simplify right side
    157,129.67x = 18,541,715,196.85
  5. Step 5: Solve for x
    x = 18,541,715,196.85/157,129.67
  6. Step 6: Final answer
    x = 118,002.63

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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.