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Finding the Fourth Proportional to 282,382.58, 423,479.90 and 113,859.38

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Solution

The fourth proportional to 282,382.58, 423,479.90 and 113,859.38 is: 170,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,382.58 : 423,479.90 = 113,859.38 : x
  2. Step 2: Convert to fraction form
    282,382.58/423,479.90 = 113,859.38/x
  3. Step 3: Cross multiply
    282,382.58x = 423,479.90 × 113,859.38
  4. Step 4: Simplify right side
    282,382.58x = 48,217,158,856.46
  5. Step 5: Solve for x
    x = 48,217,158,856.46/282,382.58
  6. Step 6: Final answer
    x = 170,751.18

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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.