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Finding the Fourth Proportional to 140,076, 193,304.88 and 76,414.05

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Solution

The fourth proportional to 140,076, 193,304.88 and 76,414.05 is: 105,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,076 : 193,304.88 = 76,414.05 : x
  2. Step 2: Convert to fraction form
    140,076/193,304.88 = 76,414.05/x
  3. Step 3: Cross multiply
    140,076x = 193,304.88 × 76,414.05
  4. Step 4: Simplify right side
    140,076x = 14,771,208,765.56
  5. Step 5: Solve for x
    x = 14,771,208,765.56/140,076
  6. Step 6: Final answer
    x = 105,451.39

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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.