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Finding the Fourth Proportional to 101,564.46, 140,158.17 and 56,242.26

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Solution

The fourth proportional to 101,564.46, 140,158.17 and 56,242.26 is: 77,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564.46 : 140,158.17 = 56,242.26 : x
  2. Step 2: Convert to fraction form
    101,564.46/140,158.17 = 56,242.26/x
  3. Step 3: Cross multiply
    101,564.46x = 140,158.17 × 56,242.26
  4. Step 4: Simplify right side
    101,564.46x = 7,882,812,238.26
  5. Step 5: Solve for x
    x = 7,882,812,238.26/101,564.46
  6. Step 6: Final answer
    x = 77,613.88

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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.