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Finding the Fourth Proportional to 102,163.68, 141,002.78 and 59,714.01

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Solution

The fourth proportional to 102,163.68, 141,002.78 and 59,714.01 is: 82,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.68 : 141,002.78 = 59,714.01 : x
  2. Step 2: Convert to fraction form
    102,163.68/141,002.78 = 59,714.01/x
  3. Step 3: Cross multiply
    102,163.68x = 141,002.78 × 59,714.01
  4. Step 4: Simplify right side
    102,163.68x = 8,419,841,116.38
  5. Step 5: Solve for x
    x = 8,419,841,116.38/102,163.68
  6. Step 6: Final answer
    x = 82,415.21

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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.