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Finding the Fourth Proportional to 218,006.42, 300,931.07 and 127,391.84

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Solution

The fourth proportional to 218,006.42, 300,931.07 and 127,391.84 is: 175,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,006.42 : 300,931.07 = 127,391.84 : x
  2. Step 2: Convert to fraction form
    218,006.42/300,931.07 = 127,391.84/x
  3. Step 3: Cross multiply
    218,006.42x = 300,931.07 × 127,391.84
  4. Step 4: Simplify right side
    218,006.42x = 38,336,162,720.47
  5. Step 5: Solve for x
    x = 38,336,162,720.47/218,006.42
  6. Step 6: Final answer
    x = 175,848.78

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