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Finding the Fourth Proportional to 224,344.95, 309,597 and 122,372.60

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Solution

The fourth proportional to 224,344.95, 309,597 and 122,372.60 is: 168,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,344.95 : 309,597 = 122,372.60 : x
  2. Step 2: Convert to fraction form
    224,344.95/309,597 = 122,372.60/x
  3. Step 3: Cross multiply
    224,344.95x = 309,597 × 122,372.60
  4. Step 4: Simplify right side
    224,344.95x = 37,886,190,616.19
  5. Step 5: Solve for x
    x = 37,886,190,616.19/224,344.95
  6. Step 6: Final answer
    x = 168,874.72

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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.