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Finding the Fourth Proportional to 224,451.60, 309,612.60 and 143,850.48

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Solution

The fourth proportional to 224,451.60, 309,612.60 and 143,850.48 is: 198,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,451.60 : 309,612.60 = 143,850.48 : x
  2. Step 2: Convert to fraction form
    224,451.60/309,612.60 = 143,850.48/x
  3. Step 3: Cross multiply
    224,451.60x = 309,612.60 × 143,850.48
  4. Step 4: Simplify right side
    224,451.60x = 44,537,921,124.05
  5. Step 5: Solve for x
    x = 44,537,921,124.05/224,451.60
  6. Step 6: Final answer
    x = 198,429.96

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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.