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Finding the Fourth Proportional to 83,130.30, 124,810.65 and 65,619.90

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Solution

The fourth proportional to 83,130.30, 124,810.65 and 65,619.90 is: 98,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,130.30 : 124,810.65 = 65,619.90 : x
  2. Step 2: Convert to fraction form
    83,130.30/124,810.65 = 65,619.90/x
  3. Step 3: Cross multiply
    83,130.30x = 124,810.65 × 65,619.90
  4. Step 4: Simplify right side
    83,130.30x = 8,190,062,371.94
  5. Step 5: Solve for x
    x = 8,190,062,371.94/83,130.30
  6. Step 6: Final answer
    x = 98,520.78

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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.