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Finding the Fourth Proportional to 175,432, 242,101.92 and 95,944

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Solution

The fourth proportional to 175,432, 242,101.92 and 95,944 is: 132,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,432 : 242,101.92 = 95,944 : x
  2. Step 2: Convert to fraction form
    175,432/242,101.92 = 95,944/x
  3. Step 3: Cross multiply
    175,432x = 242,101.92 × 95,944
  4. Step 4: Simplify right side
    175,432x = 23,228,226,612.48
  5. Step 5: Solve for x
    x = 23,228,226,612.48/175,432
  6. Step 6: Final answer
    x = 132,405.87

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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.