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Finding the Fourth Proportional to 188,482.96, 282,724.56 and 88,569.84

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Solution

The fourth proportional to 188,482.96, 282,724.56 and 88,569.84 is: 132,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,482.96 : 282,724.56 = 88,569.84 : x
  2. Step 2: Convert to fraction form
    188,482.96/282,724.56 = 88,569.84/x
  3. Step 3: Cross multiply
    188,482.96x = 282,724.56 × 88,569.84
  4. Step 4: Simplify right side
    188,482.96x = 25,040,869,043.27
  5. Step 5: Solve for x
    x = 25,040,869,043.27/188,482.96
  6. Step 6: Final answer
    x = 132,854.82

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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.