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Finding the Fourth Proportional to 120,689.40, 181,034.10 and 89,585.40

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Solution

The fourth proportional to 120,689.40, 181,034.10 and 89,585.40 is: 134,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,689.40 : 181,034.10 = 89,585.40 : x
  2. Step 2: Convert to fraction form
    120,689.40/181,034.10 = 89,585.40/x
  3. Step 3: Cross multiply
    120,689.40x = 181,034.10 × 89,585.40
  4. Step 4: Simplify right side
    120,689.40x = 16,218,012,262.14
  5. Step 5: Solve for x
    x = 16,218,012,262.14/120,689.40
  6. Step 6: Final answer
    x = 134,378.10

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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.