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Finding the Fourth Proportional to 140,646.92, 194,092.96 and 76,988.74

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Solution

The fourth proportional to 140,646.92, 194,092.96 and 76,988.74 is: 106,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646.92 : 194,092.96 = 76,988.74 : x
  2. Step 2: Convert to fraction form
    140,646.92/194,092.96 = 76,988.74/x
  3. Step 3: Cross multiply
    140,646.92x = 194,092.96 × 76,988.74
  4. Step 4: Simplify right side
    140,646.92x = 14,942,972,433.27
  5. Step 5: Solve for x
    x = 14,942,972,433.27/140,646.92
  6. Step 6: Final answer
    x = 106,244.58

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1.5x scale

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.