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Finding the Fourth Proportional to 120,854.40, 181,281.60 and 101,171.40

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Solution

The fourth proportional to 120,854.40, 181,281.60 and 101,171.40 is: 151,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,854.40 : 181,281.60 = 101,171.40 : x
  2. Step 2: Convert to fraction form
    120,854.40/181,281.60 = 101,171.40/x
  3. Step 3: Cross multiply
    120,854.40x = 181,281.60 × 101,171.40
  4. Step 4: Simplify right side
    120,854.40x = 18,340,513,266.24
  5. Step 5: Solve for x
    x = 18,340,513,266.24/120,854.40
  6. Step 6: Final answer
    x = 151,757.10

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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.