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Finding the Fourth Proportional to 314,726.92, 472,174.62 and 137,248.36

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Solution

The fourth proportional to 314,726.92, 472,174.62 and 137,248.36 is: 205,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.92 : 472,174.62 = 137,248.36 : x
  2. Step 2: Convert to fraction form
    314,726.92/472,174.62 = 137,248.36/x
  3. Step 3: Cross multiply
    314,726.92x = 472,174.62 × 137,248.36
  4. Step 4: Simplify right side
    314,726.92x = 64,805,192,228.62
  5. Step 5: Solve for x
    x = 64,805,192,228.62/314,726.92
  6. Step 6: Final answer
    x = 205,909.28

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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.