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Finding the Fourth Proportional to 278,094.92, 383,790.65 and 157,237.38

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Solution

The fourth proportional to 278,094.92, 383,790.65 and 157,237.38 is: 216,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,094.92 : 383,790.65 = 157,237.38 : x
  2. Step 2: Convert to fraction form
    278,094.92/383,790.65 = 157,237.38/x
  3. Step 3: Cross multiply
    278,094.92x = 383,790.65 × 157,237.38
  4. Step 4: Simplify right side
    278,094.92x = 60,346,235,488.31
  5. Step 5: Solve for x
    x = 60,346,235,488.31/278,094.92
  6. Step 6: Final answer
    x = 216,998.70

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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.