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Finding the Fourth Proportional to 185,758.52, 278,549.96 and 71,959.64

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Solution

The fourth proportional to 185,758.52, 278,549.96 and 71,959.64 is: 107,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,758.52 : 278,549.96 = 71,959.64 : x
  2. Step 2: Convert to fraction form
    185,758.52/278,549.96 = 71,959.64/x
  3. Step 3: Cross multiply
    185,758.52x = 278,549.96 × 71,959.64
  4. Step 4: Simplify right side
    185,758.52x = 20,044,353,091.07
  5. Step 5: Solve for x
    x = 20,044,353,091.07/185,758.52
  6. Step 6: Final answer
    x = 107,905.43

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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.