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Finding the Fourth Proportional to 225,665.28, 338,507.28 and 186,148.80

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Solution

The fourth proportional to 225,665.28, 338,507.28 and 186,148.80 is: 279,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,665.28 : 338,507.28 = 186,148.80 : x
  2. Step 2: Convert to fraction form
    225,665.28/338,507.28 = 186,148.80/x
  3. Step 3: Cross multiply
    225,665.28x = 338,507.28 × 186,148.80
  4. Step 4: Simplify right side
    225,665.28x = 63,012,723,963.26
  5. Step 5: Solve for x
    x = 63,012,723,963.26/225,665.28
  6. Step 6: Final answer
    x = 279,230.92

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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.