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Finding the Fourth Proportional to 140,988.66, 194,565.85 and 76,458.02

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Solution

The fourth proportional to 140,988.66, 194,565.85 and 76,458.02 is: 105,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,988.66 : 194,565.85 = 76,458.02 : x
  2. Step 2: Convert to fraction form
    140,988.66/194,565.85 = 76,458.02/x
  3. Step 3: Cross multiply
    140,988.66x = 194,565.85 × 76,458.02
  4. Step 4: Simplify right side
    140,988.66x = 14,876,118,916.72
  5. Step 5: Solve for x
    x = 14,876,118,916.72/140,988.66
  6. Step 6: Final answer
    x = 105,512.88

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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.