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Finding the Fourth Proportional to 82,862.90, 124,294.35 and 76,447.70

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Solution

The fourth proportional to 82,862.90, 124,294.35 and 76,447.70 is: 114,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862.90 : 124,294.35 = 76,447.70 : x
  2. Step 2: Convert to fraction form
    82,862.90/124,294.35 = 76,447.70/x
  3. Step 3: Cross multiply
    82,862.90x = 124,294.35 × 76,447.70
  4. Step 4: Simplify right side
    82,862.90x = 9,502,017,180.50
  5. Step 5: Solve for x
    x = 9,502,017,180.50/82,862.90
  6. Step 6: Final answer
    x = 114,671.55

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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.