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Finding the Fourth Proportional to 120,154.46, 179,903.30 and 86,454.16

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Solution

The fourth proportional to 120,154.46, 179,903.30 and 86,454.16 is: 129,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,154.46 : 179,903.30 = 86,454.16 : x
  2. Step 2: Convert to fraction form
    120,154.46/179,903.30 = 86,454.16/x
  3. Step 3: Cross multiply
    120,154.46x = 179,903.30 × 86,454.16
  4. Step 4: Simplify right side
    120,154.46x = 15,553,389,036.13
  5. Step 5: Solve for x
    x = 15,553,389,036.13/120,154.46
  6. Step 6: Final answer
    x = 129,444.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.