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Finding the Fourth Proportional to 224,241, 309,455 and 122,265.64

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Solution

The fourth proportional to 224,241, 309,455 and 122,265.64 is: 168,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,241 : 309,455 = 122,265.64 : x
  2. Step 2: Convert to fraction form
    224,241/309,455 = 122,265.64/x
  3. Step 3: Cross multiply
    224,241x = 309,455 × 122,265.64
  4. Step 4: Simplify right side
    224,241x = 37,835,713,626.20
  5. Step 5: Solve for x
    x = 37,835,713,626.20/224,241
  6. Step 6: Final answer
    x = 168,727.90

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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.