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Finding the Fourth Proportional to 181,209.76, 271,690.64 and 92,291.20

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Solution

The fourth proportional to 181,209.76, 271,690.64 and 92,291.20 is: 138,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,209.76 : 271,690.64 = 92,291.20 : x
  2. Step 2: Convert to fraction form
    181,209.76/271,690.64 = 92,291.20/x
  3. Step 3: Cross multiply
    181,209.76x = 271,690.64 × 92,291.20
  4. Step 4: Simplify right side
    181,209.76x = 25,074,655,194.37
  5. Step 5: Solve for x
    x = 25,074,655,194.37/181,209.76
  6. Step 6: Final answer
    x = 138,373.65

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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.