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Finding the Fourth Proportional to 224,309.66, 309,469.16 and 143,781.58

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Solution

The fourth proportional to 224,309.66, 309,469.16 and 143,781.58 is: 198,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,309.66 : 309,469.16 = 143,781.58 : x
  2. Step 2: Convert to fraction form
    224,309.66/309,469.16 = 143,781.58/x
  3. Step 3: Cross multiply
    224,309.66x = 309,469.16 × 143,781.58
  4. Step 4: Simplify right side
    224,309.66x = 44,495,964,723.59
  5. Step 5: Solve for x
    x = 44,495,964,723.59/224,309.66
  6. Step 6: Final answer
    x = 198,368.48

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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.