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Finding the Fourth Proportional to 276,133.44, 413,535.85 and 157,444.95

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Solution

The fourth proportional to 276,133.44, 413,535.85 and 157,444.95 is: 235,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,133.44 : 413,535.85 = 157,444.95 : x
  2. Step 2: Convert to fraction form
    276,133.44/413,535.85 = 157,444.95/x
  3. Step 3: Cross multiply
    276,133.44x = 413,535.85 × 157,444.95
  4. Step 4: Simplify right side
    276,133.44x = 65,109,131,226.46
  5. Step 5: Solve for x
    x = 65,109,131,226.46/276,133.44
  6. Step 6: Final answer
    x = 235,788.65

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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.