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Finding the Fourth Proportional to 180,049.32, 270,061.02 and 78,857.64

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Solution

The fourth proportional to 180,049.32, 270,061.02 and 78,857.64 is: 118,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,049.32 : 270,061.02 = 78,857.64 : x
  2. Step 2: Convert to fraction form
    180,049.32/270,061.02 = 78,857.64/x
  3. Step 3: Cross multiply
    180,049.32x = 270,061.02 × 78,857.64
  4. Step 4: Simplify right side
    180,049.32x = 21,296,374,693.19
  5. Step 5: Solve for x
    x = 21,296,374,693.19/180,049.32
  6. Step 6: Final answer
    x = 118,280.78

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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.