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Finding the Fourth Proportional to 157,185.83, 216,916.46 and 85,566.38

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Solution

The fourth proportional to 157,185.83, 216,916.46 and 85,566.38 is: 118,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,185.83 : 216,916.46 = 85,566.38 : x
  2. Step 2: Convert to fraction form
    157,185.83/216,916.46 = 85,566.38/x
  3. Step 3: Cross multiply
    157,185.83x = 216,916.46 × 85,566.38
  4. Step 4: Simplify right side
    157,185.83x = 18,560,754,732.20
  5. Step 5: Solve for x
    x = 18,560,754,732.20/157,185.83
  6. Step 6: Final answer
    x = 118,081.61

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Why These Related Problems?

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