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Finding the Fourth Proportional to 82,862.70, 124,294.05 and 82,862.70

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Solution

The fourth proportional to 82,862.70, 124,294.05 and 82,862.70 is: 124,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862.70 : 124,294.05 = 82,862.70 : x
  2. Step 2: Convert to fraction form
    82,862.70/124,294.05 = 82,862.70/x
  3. Step 3: Cross multiply
    82,862.70x = 124,294.05 × 82,862.70
  4. Step 4: Simplify right side
    82,862.70x = 10,299,340,576.94
  5. Step 5: Solve for x
    x = 10,299,340,576.94/82,862.70
  6. Step 6: Final answer
    x = 124,294.05

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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.