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Finding the Fourth Proportional to 224,394.72, 309,643.20 and 123,786.24

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Solution

The fourth proportional to 224,394.72, 309,643.20 and 123,786.24 is: 170,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,394.72 : 309,643.20 = 123,786.24 : x
  2. Step 2: Convert to fraction form
    224,394.72/309,643.20 = 123,786.24/x
  3. Step 3: Cross multiply
    224,394.72x = 309,643.20 × 123,786.24
  4. Step 4: Simplify right side
    224,394.72x = 38,329,567,469.57
  5. Step 5: Solve for x
    x = 38,329,567,469.57/224,394.72
  6. Step 6: Final answer
    x = 170,813.14

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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.