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Finding the Fourth Proportional to 138,848.80, 208,251.60 and 38,999.20

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Solution

The fourth proportional to 138,848.80, 208,251.60 and 38,999.20 is: 58,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,848.80 : 208,251.60 = 38,999.20 : x
  2. Step 2: Convert to fraction form
    138,848.80/208,251.60 = 38,999.20/x
  3. Step 3: Cross multiply
    138,848.80x = 208,251.60 × 38,999.20
  4. Step 4: Simplify right side
    138,848.80x = 8,121,645,798.72
  5. Step 5: Solve for x
    x = 8,121,645,798.72/138,848.80
  6. Step 6: Final answer
    x = 58,492.73

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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.