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Finding the Fourth Proportional to 185,753.24, 278,557.16 and 65,763.86

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Solution

The fourth proportional to 185,753.24, 278,557.16 and 65,763.86 is: 98,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,753.24 : 278,557.16 = 65,763.86 : x
  2. Step 2: Convert to fraction form
    185,753.24/278,557.16 = 65,763.86/x
  3. Step 3: Cross multiply
    185,753.24x = 278,557.16 × 65,763.86
  4. Step 4: Simplify right side
    185,753.24x = 18,318,994,072.24
  5. Step 5: Solve for x
    x = 18,318,994,072.24/185,753.24
  6. Step 6: Final answer
    x = 98,620.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.