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Finding the Fourth Proportional to 157,212.07, 216,952.68 and 85,592.09

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Solution

The fourth proportional to 157,212.07, 216,952.68 and 85,592.09 is: 118,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,212.07 : 216,952.68 = 85,592.09 : x
  2. Step 2: Convert to fraction form
    157,212.07/216,952.68 = 85,592.09/x
  3. Step 3: Cross multiply
    157,212.07x = 216,952.68 × 85,592.09
  4. Step 4: Simplify right side
    157,212.07x = 18,569,433,312.30
  5. Step 5: Solve for x
    x = 18,569,433,312.30/157,212.07
  6. Step 6: Final answer
    x = 118,117.10

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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.