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Finding the Fourth Proportional to 225,617.65, 338,070.47 and 83,267.03

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Solution

The fourth proportional to 225,617.65, 338,070.47 and 83,267.03 is: 124,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,617.65 : 338,070.47 = 83,267.03 : x
  2. Step 2: Convert to fraction form
    225,617.65/338,070.47 = 83,267.03/x
  3. Step 3: Cross multiply
    225,617.65x = 338,070.47 × 83,267.03
  4. Step 4: Simplify right side
    225,617.65x = 28,150,124,396.45
  5. Step 5: Solve for x
    x = 28,150,124,396.45/225,617.65
  6. Step 6: Final answer
    x = 124,769.16

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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.