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Finding the Fourth Proportional to 124,288.38, 171,463.32 and 83,987.46

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Solution

The fourth proportional to 124,288.38, 171,463.32 and 83,987.46 is: 115,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,288.38 : 171,463.32 = 83,987.46 : x
  2. Step 2: Convert to fraction form
    124,288.38/171,463.32 = 83,987.46/x
  3. Step 3: Cross multiply
    124,288.38x = 171,463.32 × 83,987.46
  4. Step 4: Simplify right side
    124,288.38x = 14,400,768,729.97
  5. Step 5: Solve for x
    x = 14,400,768,729.97/124,288.38
  6. Step 6: Final answer
    x = 115,865.77

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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.