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Finding the Fourth Proportional to 150,572.64, 207,788.80 and 82,588.20

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Solution

The fourth proportional to 150,572.64, 207,788.80 and 82,588.20 is: 113,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,572.64 : 207,788.80 = 82,588.20 : x
  2. Step 2: Convert to fraction form
    150,572.64/207,788.80 = 82,588.20/x
  3. Step 3: Cross multiply
    150,572.64x = 207,788.80 × 82,588.20
  4. Step 4: Simplify right side
    150,572.64x = 17,160,902,972.16
  5. Step 5: Solve for x
    x = 17,160,902,972.16/150,572.64
  6. Step 6: Final answer
    x = 113,970.92

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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.