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Finding the Fourth Proportional to 224,292.13, 309,523.08 and 123,690.13

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Solution

The fourth proportional to 224,292.13, 309,523.08 and 123,690.13 is: 170,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,292.13 : 309,523.08 = 123,690.13 : x
  2. Step 2: Convert to fraction form
    224,292.13/309,523.08 = 123,690.13/x
  3. Step 3: Cross multiply
    224,292.13x = 309,523.08 × 123,690.13
  4. Step 4: Simplify right side
    224,292.13x = 38,284,950,003.20
  5. Step 5: Solve for x
    x = 38,284,950,003.20/224,292.13
  6. Step 6: Final answer
    x = 170,692.35

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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.