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Finding the Fourth Proportional to 124,327.78, 186,491.50 and 57,731.49

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Solution

The fourth proportional to 124,327.78, 186,491.50 and 57,731.49 is: 86,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,327.78 : 186,491.50 = 57,731.49 : x
  2. Step 2: Convert to fraction form
    124,327.78/186,491.50 = 57,731.49/x
  3. Step 3: Cross multiply
    124,327.78x = 186,491.50 × 57,731.49
  4. Step 4: Simplify right side
    124,327.78x = 10,766,432,023.01
  5. Step 5: Solve for x
    x = 10,766,432,023.01/124,327.78
  6. Step 6: Final answer
    x = 86,597.16

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Why These Related Problems?

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