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Finding the Fourth Proportional to 215,793.28, 323,262.72 and 101,784.96

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Solution

The fourth proportional to 215,793.28, 323,262.72 and 101,784.96 is: 152,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,793.28 : 323,262.72 = 101,784.96 : x
  2. Step 2: Convert to fraction form
    215,793.28/323,262.72 = 101,784.96/x
  3. Step 3: Cross multiply
    215,793.28x = 323,262.72 × 101,784.96
  4. Step 4: Simplify right side
    215,793.28x = 32,903,283,024.69
  5. Step 5: Solve for x
    x = 32,903,283,024.69/215,793.28
  6. Step 6: Final answer
    x = 152,475.94

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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.