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Finding the Fourth Proportional to 153,146.50, 229,861.90 and 78,320.12

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Solution

The fourth proportional to 153,146.50, 229,861.90 and 78,320.12 is: 117,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,146.50 : 229,861.90 = 78,320.12 : x
  2. Step 2: Convert to fraction form
    153,146.50/229,861.90 = 78,320.12/x
  3. Step 3: Cross multiply
    153,146.50x = 229,861.90 × 78,320.12
  4. Step 4: Simplify right side
    153,146.50x = 18,002,810,540.02
  5. Step 5: Solve for x
    x = 18,002,810,540.02/153,146.50
  6. Step 6: Final answer
    x = 117,552.87

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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.