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Finding the Fourth Proportional to 276,119.72, 414,594.30 and 157,924.52

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Solution

The fourth proportional to 276,119.72, 414,594.30 and 157,924.52 is: 237,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,119.72 : 414,594.30 = 157,924.52 : x
  2. Step 2: Convert to fraction form
    276,119.72/414,594.30 = 157,924.52/x
  3. Step 3: Cross multiply
    276,119.72x = 414,594.30 × 157,924.52
  4. Step 4: Simplify right side
    276,119.72x = 65,474,605,822.24
  5. Step 5: Solve for x
    x = 65,474,605,822.24/276,119.72
  6. Step 6: Final answer
    x = 237,123.98

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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.