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Finding the Fourth Proportional to 224,387.09, 309,655.67 and 122,414.16

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Solution

The fourth proportional to 224,387.09, 309,655.67 and 122,414.16 is: 168,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,387.09 : 309,655.67 = 122,414.16 : x
  2. Step 2: Convert to fraction form
    224,387.09/309,655.67 = 122,414.16/x
  3. Step 3: Cross multiply
    224,387.09x = 309,655.67 × 122,414.16
  4. Step 4: Simplify right side
    224,387.09x = 37,906,238,120.22
  5. Step 5: Solve for x
    x = 37,906,238,120.22/224,387.09
  6. Step 6: Final answer
    x = 168,932.35

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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.