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Finding the Fourth Proportional to 96,023.20, 144,034.80 and 89,024.80

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Solution

The fourth proportional to 96,023.20, 144,034.80 and 89,024.80 is: 133,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,023.20 : 144,034.80 = 89,024.80 : x
  2. Step 2: Convert to fraction form
    96,023.20/144,034.80 = 89,024.80/x
  3. Step 3: Cross multiply
    96,023.20x = 144,034.80 × 89,024.80
  4. Step 4: Simplify right side
    96,023.20x = 12,822,669,263.04
  5. Step 5: Solve for x
    x = 12,822,669,263.04/96,023.20
  6. Step 6: Final answer
    x = 133,537.20

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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.