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Finding the Fourth Proportional to 165,898.76, 248,951.34 and 67,402.76

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Solution

The fourth proportional to 165,898.76, 248,951.34 and 67,402.76 is: 101,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,898.76 : 248,951.34 = 67,402.76 : x
  2. Step 2: Convert to fraction form
    165,898.76/248,951.34 = 67,402.76/x
  3. Step 3: Cross multiply
    165,898.76x = 248,951.34 × 67,402.76
  4. Step 4: Simplify right side
    165,898.76x = 16,780,007,421.70
  5. Step 5: Solve for x
    x = 16,780,007,421.70/165,898.76
  6. Step 6: Final answer
    x = 101,146.07

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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.