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Finding the Fourth Proportional to 278,044.60, 383,718.11 and 157,197.16

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Solution

The fourth proportional to 278,044.60, 383,718.11 and 157,197.16 is: 216,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,044.60 : 383,718.11 = 157,197.16 : x
  2. Step 2: Convert to fraction form
    278,044.60/383,718.11 = 157,197.16/x
  3. Step 3: Cross multiply
    278,044.60x = 383,718.11 × 157,197.16
  4. Step 4: Simplify right side
    278,044.60x = 60,319,395,552.05
  5. Step 5: Solve for x
    x = 60,319,395,552.05/278,044.60
  6. Step 6: Final answer
    x = 216,941.44

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1.5x scale

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.