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Finding the Fourth Proportional to 215,729.84, 323,740.56 and 75,489.68

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Solution

The fourth proportional to 215,729.84, 323,740.56 and 75,489.68 is: 113,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,729.84 : 323,740.56 = 75,489.68 : x
  2. Step 2: Convert to fraction form
    215,729.84/323,740.56 = 75,489.68/x
  3. Step 3: Cross multiply
    215,729.84x = 323,740.56 × 75,489.68
  4. Step 4: Simplify right side
    215,729.84x = 24,439,071,277.42
  5. Step 5: Solve for x
    x = 24,439,071,277.42/215,729.84
  6. Step 6: Final answer
    x = 113,285.54

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1.5x scale

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.