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Finding the Fourth Proportional to 142,841.88, 214,242.17 and 100,017.38

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Solution

The fourth proportional to 142,841.88, 214,242.17 and 100,017.38 is: 150,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,841.88 : 214,242.17 = 100,017.38 : x
  2. Step 2: Convert to fraction form
    142,841.88/214,242.17 = 100,017.38/x
  3. Step 3: Cross multiply
    142,841.88x = 214,242.17 × 100,017.38
  4. Step 4: Simplify right side
    142,841.88x = 21,427,940,564.43
  5. Step 5: Solve for x
    x = 21,427,940,564.43/142,841.88
  6. Step 6: Final answer
    x = 150,011.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.