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Finding the Fourth Proportional to 150,412.68, 207,575.27 and 85,892.44

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Solution

The fourth proportional to 150,412.68, 207,575.27 and 85,892.44 is: 118,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,412.68 : 207,575.27 = 85,892.44 : x
  2. Step 2: Convert to fraction form
    150,412.68/207,575.27 = 85,892.44/x
  3. Step 3: Cross multiply
    150,412.68x = 207,575.27 × 85,892.44
  4. Step 4: Simplify right side
    150,412.68x = 17,829,146,423.96
  5. Step 5: Solve for x
    x = 17,829,146,423.96/150,412.68
  6. Step 6: Final answer
    x = 118,534.86

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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.