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Finding the Fourth Proportional to 218,052.40, 327,035.40 and 105,732.40

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Solution

The fourth proportional to 218,052.40, 327,035.40 and 105,732.40 is: 158,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,052.40 : 327,035.40 = 105,732.40 : x
  2. Step 2: Convert to fraction form
    218,052.40/327,035.40 = 105,732.40/x
  3. Step 3: Cross multiply
    218,052.40x = 327,035.40 × 105,732.40
  4. Step 4: Simplify right side
    218,052.40x = 34,578,237,726.96
  5. Step 5: Solve for x
    x = 34,578,237,726.96/218,052.40
  6. Step 6: Final answer
    x = 158,577.65

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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.