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Finding the Fourth Proportional to 278,105.35, 383,792.94 and 157,264.72

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Solution

The fourth proportional to 278,105.35, 383,792.94 and 157,264.72 is: 217,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,105.35 : 383,792.94 = 157,264.72 : x
  2. Step 2: Convert to fraction form
    278,105.35/383,792.94 = 157,264.72/x
  3. Step 3: Cross multiply
    278,105.35x = 383,792.94 × 157,264.72
  4. Step 4: Simplify right side
    278,105.35x = 60,357,087,328.11
  5. Step 5: Solve for x
    x = 60,357,087,328.11/278,105.35
  6. Step 6: Final answer
    x = 217,029.58

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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.