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Finding the Fourth Proportional to 120,349.65, 180,487.52 and 83,148.78

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Solution

The fourth proportional to 120,349.65, 180,487.52 and 83,148.78 is: 124,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,349.65 : 180,487.52 = 83,148.78 : x
  2. Step 2: Convert to fraction form
    120,349.65/180,487.52 = 83,148.78/x
  3. Step 3: Cross multiply
    120,349.65x = 180,487.52 × 83,148.78
  4. Step 4: Simplify right side
    120,349.65x = 15,007,317,093.23
  5. Step 5: Solve for x
    x = 15,007,317,093.23/120,349.65
  6. Step 6: Final answer
    x = 124,697.64

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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.