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Finding the Fourth Proportional to 140,436, 193,801.65 and 76,773.78

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Solution

The fourth proportional to 140,436, 193,801.65 and 76,773.78 is: 105,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,436 : 193,801.65 = 76,773.78 : x
  2. Step 2: Convert to fraction form
    140,436/193,801.65 = 76,773.78/x
  3. Step 3: Cross multiply
    140,436x = 193,801.65 × 76,773.78
  4. Step 4: Simplify right side
    140,436x = 14,878,885,240.74
  5. Step 5: Solve for x
    x = 14,878,885,240.74/140,436
  6. Step 6: Final answer
    x = 105,947.80

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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.