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Finding the Fourth Proportional to 282,053.30, 423,099.15 and 82,373.30

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Solution

The fourth proportional to 282,053.30, 423,099.15 and 82,373.30 is: 123,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,053.30 : 423,099.15 = 82,373.30 : x
  2. Step 2: Convert to fraction form
    282,053.30/423,099.15 = 82,373.30/x
  3. Step 3: Cross multiply
    282,053.30x = 423,099.15 × 82,373.30
  4. Step 4: Simplify right side
    282,053.30x = 34,852,073,212.70
  5. Step 5: Solve for x
    x = 34,852,073,212.70/282,053.30
  6. Step 6: Final answer
    x = 123,565.56

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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.