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Finding the Fourth Proportional to 188,449.52, 282,672.84 and 48,207.92

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Solution

The fourth proportional to 188,449.52, 282,672.84 and 48,207.92 is: 72,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,449.52 : 282,672.84 = 48,207.92 : x
  2. Step 2: Convert to fraction form
    188,449.52/282,672.84 = 48,207.92/x
  3. Step 3: Cross multiply
    188,449.52x = 282,672.84 × 48,207.92
  4. Step 4: Simplify right side
    188,449.52x = 13,627,069,656.89
  5. Step 5: Solve for x
    x = 13,627,069,656.89/188,449.52
  6. Step 6: Final answer
    x = 72,311.51

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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.