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Finding the Fourth Proportional to 224,213.16, 309,223.81 and 189,458.08

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Solution

The fourth proportional to 224,213.16, 309,223.81 and 189,458.08 is: 261,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,213.16 : 309,223.81 = 189,458.08 : x
  2. Step 2: Convert to fraction form
    224,213.16/309,223.81 = 189,458.08/x
  3. Step 3: Cross multiply
    224,213.16x = 309,223.81 × 189,458.08
  4. Step 4: Simplify right side
    224,213.16x = 58,584,948,385.59
  5. Step 5: Solve for x
    x = 58,584,948,385.59/224,213.16
  6. Step 6: Final answer
    x = 261,291.30

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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.