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Finding the Fourth Proportional to 102,706.02, 141,752.97 and 59,691.38

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Solution

The fourth proportional to 102,706.02, 141,752.97 and 59,691.38 is: 82,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.02 : 141,752.97 = 59,691.38 : x
  2. Step 2: Convert to fraction form
    102,706.02/141,752.97 = 59,691.38/x
  3. Step 3: Cross multiply
    102,706.02x = 141,752.97 × 59,691.38
  4. Step 4: Simplify right side
    102,706.02x = 8,461,429,689.63
  5. Step 5: Solve for x
    x = 8,461,429,689.63/102,706.02
  6. Step 6: Final answer
    x = 82,384.94

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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.