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Finding the Fourth Proportional to 201,462.96, 278,013.24 and 110,818.83

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Solution

The fourth proportional to 201,462.96, 278,013.24 and 110,818.83 is: 152,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,462.96 : 278,013.24 = 110,818.83 : x
  2. Step 2: Convert to fraction form
    201,462.96/278,013.24 = 110,818.83/x
  3. Step 3: Cross multiply
    201,462.96x = 278,013.24 × 110,818.83
  4. Step 4: Simplify right side
    201,462.96x = 30,809,101,981.31
  5. Step 5: Solve for x
    x = 30,809,101,981.31/201,462.96
  6. Step 6: Final answer
    x = 152,926.88

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Why These Related Problems?

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