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Finding the Fourth Proportional to 218,738.31, 328,134.84 and 85,601.37

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Solution

The fourth proportional to 218,738.31, 328,134.84 and 85,601.37 is: 128,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,738.31 : 328,134.84 = 85,601.37 : x
  2. Step 2: Convert to fraction form
    218,738.31/328,134.84 = 85,601.37/x
  3. Step 3: Cross multiply
    218,738.31x = 328,134.84 × 85,601.37
  4. Step 4: Simplify right side
    218,738.31x = 28,088,791,848.73
  5. Step 5: Solve for x
    x = 28,088,791,848.73/218,738.31
  6. Step 6: Final answer
    x = 128,412.77

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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.