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Finding the Fourth Proportional to 224,087, 309,246.66 and 123,491.48

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Solution

The fourth proportional to 224,087, 309,246.66 and 123,491.48 is: 170,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,087 : 309,246.66 = 123,491.48 : x
  2. Step 2: Convert to fraction form
    224,087/309,246.66 = 123,491.48/x
  3. Step 3: Cross multiply
    224,087x = 309,246.66 × 123,491.48
  4. Step 4: Simplify right side
    224,087x = 38,189,327,728.46
  5. Step 5: Solve for x
    x = 38,189,327,728.46/224,087
  6. Step 6: Final answer
    x = 170,421.88

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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.