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Finding the Fourth Proportional to 272,443.14, 375,965.67 and 157,726.65

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Solution

The fourth proportional to 272,443.14, 375,965.67 and 157,726.65 is: 217,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,443.14 : 375,965.67 = 157,726.65 : x
  2. Step 2: Convert to fraction form
    272,443.14/375,965.67 = 157,726.65/x
  3. Step 3: Cross multiply
    272,443.14x = 375,965.67 × 157,726.65
  4. Step 4: Simplify right side
    272,443.14x = 59,299,805,644.11
  5. Step 5: Solve for x
    x = 59,299,805,644.11/272,443.14
  6. Step 6: Final answer
    x = 217,659.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.