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Finding the Fourth Proportional to 282,438.59, 423,661.30 and 82,763.02

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Solution

The fourth proportional to 282,438.59, 423,661.30 and 82,763.02 is: 124,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,438.59 : 423,661.30 = 82,763.02 : x
  2. Step 2: Convert to fraction form
    282,438.59/423,661.30 = 82,763.02/x
  3. Step 3: Cross multiply
    282,438.59x = 423,661.30 × 82,763.02
  4. Step 4: Simplify right side
    282,438.59x = 35,063,488,645.13
  5. Step 5: Solve for x
    x = 35,063,488,645.13/282,438.59
  6. Step 6: Final answer
    x = 124,145.53

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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.