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Finding the Fourth Proportional to 276,011.80, 413,726.10 and 157,427.80

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Solution

The fourth proportional to 276,011.80, 413,726.10 and 157,427.80 is: 235,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,011.80 : 413,726.10 = 157,427.80 : x
  2. Step 2: Convert to fraction form
    276,011.80/413,726.10 = 157,427.80/x
  3. Step 3: Cross multiply
    276,011.80x = 413,726.10 × 157,427.80
  4. Step 4: Simplify right side
    276,011.80x = 65,131,989,725.58
  5. Step 5: Solve for x
    x = 65,131,989,725.58/276,011.80
  6. Step 6: Final answer
    x = 235,975.38

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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.