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Finding the Fourth Proportional to 150,586.47, 207,811.26 and 82,599

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Solution

The fourth proportional to 150,586.47, 207,811.26 and 82,599 is: 113,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,586.47 : 207,811.26 = 82,599 : x
  2. Step 2: Convert to fraction form
    150,586.47/207,811.26 = 82,599/x
  3. Step 3: Cross multiply
    150,586.47x = 207,811.26 × 82,599
  4. Step 4: Simplify right side
    150,586.47x = 17,165,002,264.74
  5. Step 5: Solve for x
    x = 17,165,002,264.74/150,586.47
  6. Step 6: Final answer
    x = 113,987.68

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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.