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Finding the Fourth Proportional to 278,059.20, 383,702.40 and 157,206.40

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Solution

The fourth proportional to 278,059.20, 383,702.40 and 157,206.40 is: 216,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,059.20 : 383,702.40 = 157,206.40 : x
  2. Step 2: Convert to fraction form
    278,059.20/383,702.40 = 157,206.40/x
  3. Step 3: Cross multiply
    278,059.20x = 383,702.40 × 157,206.40
  4. Step 4: Simplify right side
    278,059.20x = 60,320,472,975.36
  5. Step 5: Solve for x
    x = 60,320,472,975.36/278,059.20
  6. Step 6: Final answer
    x = 216,933.92

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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.