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Finding the Fourth Proportional to 83,137.80, 124,821.90 and 65,627.40

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Solution

The fourth proportional to 83,137.80, 124,821.90 and 65,627.40 is: 98,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,137.80 : 124,821.90 = 65,627.40 : x
  2. Step 2: Convert to fraction form
    83,137.80/124,821.90 = 65,627.40/x
  3. Step 3: Cross multiply
    83,137.80x = 124,821.90 × 65,627.40
  4. Step 4: Simplify right side
    83,137.80x = 8,191,736,760.06
  5. Step 5: Solve for x
    x = 8,191,736,760.06/83,137.80
  6. Step 6: Final answer
    x = 98,532.04

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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.