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Finding the Fourth Proportional to 188,123.76, 282,277.88 and 88,292.06

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Solution

The fourth proportional to 188,123.76, 282,277.88 and 88,292.06 is: 132,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,123.76 : 282,277.88 = 88,292.06 : x
  2. Step 2: Convert to fraction form
    188,123.76/282,277.88 = 88,292.06/x
  3. Step 3: Cross multiply
    188,123.76x = 282,277.88 × 88,292.06
  4. Step 4: Simplify right side
    188,123.76x = 24,922,895,517.63
  5. Step 5: Solve for x
    x = 24,922,895,517.63/188,123.76
  6. Step 6: Final answer
    x = 132,481.38

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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.