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Finding the Fourth Proportional to 278,241.38, 383,973.14 and 157,380.06

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Solution

The fourth proportional to 278,241.38, 383,973.14 and 157,380.06 is: 217,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,241.38 : 383,973.14 = 157,380.06 : x
  2. Step 2: Convert to fraction form
    278,241.38/383,973.14 = 157,380.06/x
  3. Step 3: Cross multiply
    278,241.38x = 383,973.14 × 157,380.06
  4. Step 4: Simplify right side
    278,241.38x = 60,429,715,024.69
  5. Step 5: Solve for x
    x = 60,429,715,024.69/278,241.38
  6. Step 6: Final answer
    x = 217,184.50

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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.