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Finding the Fourth Proportional to 243,467.68, 365,180.92 and 83,530.48

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Solution

The fourth proportional to 243,467.68, 365,180.92 and 83,530.48 is: 125,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,467.68 : 365,180.92 = 83,530.48 : x
  2. Step 2: Convert to fraction form
    243,467.68/365,180.92 = 83,530.48/x
  3. Step 3: Cross multiply
    243,467.68x = 365,180.92 × 83,530.48
  4. Step 4: Simplify right side
    243,467.68x = 30,503,737,534.44
  5. Step 5: Solve for x
    x = 30,503,737,534.44/243,467.68
  6. Step 6: Final answer
    x = 125,288.65

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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.