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Finding the Fourth Proportional to 188,605.72, 282,948.18 and 55,474.80

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Solution

The fourth proportional to 188,605.72, 282,948.18 and 55,474.80 is: 83,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,605.72 : 282,948.18 = 55,474.80 : x
  2. Step 2: Convert to fraction form
    188,605.72/282,948.18 = 55,474.80/x
  3. Step 3: Cross multiply
    188,605.72x = 282,948.18 × 55,474.80
  4. Step 4: Simplify right side
    188,605.72x = 15,696,493,695.86
  5. Step 5: Solve for x
    x = 15,696,493,695.86/188,605.72
  6. Step 6: Final answer
    x = 83,223.85

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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.