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Finding the Fourth Proportional to 84,002.30, 126,003.45 and 83,419.10

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Solution

The fourth proportional to 84,002.30, 126,003.45 and 83,419.10 is: 125,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002.30 : 126,003.45 = 83,419.10 : x
  2. Step 2: Convert to fraction form
    84,002.30/126,003.45 = 83,419.10/x
  3. Step 3: Cross multiply
    84,002.30x = 126,003.45 × 83,419.10
  4. Step 4: Simplify right side
    84,002.30x = 10,511,094,395.90
  5. Step 5: Solve for x
    x = 10,511,094,395.90/84,002.30
  6. Step 6: Final answer
    x = 125,128.65

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1.5x scale

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.