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Finding the Fourth Proportional to 224,380.22, 309,623.19 and 123,771.74

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Solution

The fourth proportional to 224,380.22, 309,623.19 and 123,771.74 is: 170,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,380.22 : 309,623.19 = 123,771.74 : x
  2. Step 2: Convert to fraction form
    224,380.22/309,623.19 = 123,771.74/x
  3. Step 3: Cross multiply
    224,380.22x = 309,623.19 × 123,771.74
  4. Step 4: Simplify right side
    224,380.22x = 38,322,600,970.65
  5. Step 5: Solve for x
    x = 38,322,600,970.65/224,380.22
  6. Step 6: Final answer
    x = 170,793.13

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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.