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Finding the Fourth Proportional to 278,013.90, 383,655.02 and 157,150.94

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Solution

The fourth proportional to 278,013.90, 383,655.02 and 157,150.94 is: 216,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,013.90 : 383,655.02 = 157,150.94 : x
  2. Step 2: Convert to fraction form
    278,013.90/383,655.02 = 157,150.94/x
  3. Step 3: Cross multiply
    278,013.90x = 383,655.02 × 157,150.94
  4. Step 4: Simplify right side
    278,013.90x = 60,291,744,324.69
  5. Step 5: Solve for x
    x = 60,291,744,324.69/278,013.90
  6. Step 6: Final answer
    x = 216,865.93

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