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Finding the Fourth Proportional to 278,002.89, 383,639.82 and 157,139.93

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Solution

The fourth proportional to 278,002.89, 383,639.82 and 157,139.93 is: 216,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,002.89 : 383,639.82 = 157,139.93 : x
  2. Step 2: Convert to fraction form
    278,002.89/383,639.82 = 157,139.93/x
  3. Step 3: Cross multiply
    278,002.89x = 383,639.82 × 157,139.93
  4. Step 4: Simplify right side
    278,002.89x = 60,285,132,541.81
  5. Step 5: Solve for x
    x = 60,285,132,541.81/278,002.89
  6. Step 6: Final answer
    x = 216,850.74

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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.