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Finding the Fourth Proportional to 98,321.65, 147,630.20 and 56,249.24

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Solution

The fourth proportional to 98,321.65, 147,630.20 and 56,249.24 is: 84,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,321.65 : 147,630.20 = 56,249.24 : x
  2. Step 2: Convert to fraction form
    98,321.65/147,630.20 = 56,249.24/x
  3. Step 3: Cross multiply
    98,321.65x = 147,630.20 × 56,249.24
  4. Step 4: Simplify right side
    98,321.65x = 8,304,085,531.65
  5. Step 5: Solve for x
    x = 8,304,085,531.65/98,321.65
  6. Step 6: Final answer
    x = 84,458.36

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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.