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Finding the Fourth Proportional to 269,711.64, 404,442.30 and 157,424.19

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Solution

The fourth proportional to 269,711.64, 404,442.30 and 157,424.19 is: 236,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,711.64 : 404,442.30 = 157,424.19 : x
  2. Step 2: Convert to fraction form
    269,711.64/404,442.30 = 157,424.19/x
  3. Step 3: Cross multiply
    269,711.64x = 404,442.30 × 157,424.19
  4. Step 4: Simplify right side
    269,711.64x = 63,669,001,479.24
  5. Step 5: Solve for x
    x = 63,669,001,479.24/269,711.64
  6. Step 6: Final answer
    x = 236,063.23

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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.