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Finding the Fourth Proportional to 185,402.88, 278,101.44 and 74,592

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Solution

The fourth proportional to 185,402.88, 278,101.44 and 74,592 is: 111,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,402.88 : 278,101.44 = 74,592 : x
  2. Step 2: Convert to fraction form
    185,402.88/278,101.44 = 74,592/x
  3. Step 3: Cross multiply
    185,402.88x = 278,101.44 × 74,592
  4. Step 4: Simplify right side
    185,402.88x = 20,744,142,612.48
  5. Step 5: Solve for x
    x = 20,744,142,612.48/185,402.88
  6. Step 6: Final answer
    x = 111,886.84

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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.