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Finding the Fourth Proportional to 180,322.48, 270,508.33 and 75,116.85

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Solution

The fourth proportional to 180,322.48, 270,508.33 and 75,116.85 is: 112,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,322.48 : 270,508.33 = 75,116.85 : x
  2. Step 2: Convert to fraction form
    180,322.48/270,508.33 = 75,116.85/x
  3. Step 3: Cross multiply
    180,322.48x = 270,508.33 × 75,116.85
  4. Step 4: Simplify right side
    180,322.48x = 20,319,731,920.23
  5. Step 5: Solve for x
    x = 20,319,731,920.23/180,322.48
  6. Step 6: Final answer
    x = 112,685.52

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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.