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Finding the Fourth Proportional to 224,071, 309,224.46 and 123,475.48

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Solution

The fourth proportional to 224,071, 309,224.46 and 123,475.48 is: 170,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,071 : 309,224.46 = 123,475.48 : x
  2. Step 2: Convert to fraction form
    224,071/309,224.46 = 123,475.48/x
  3. Step 3: Cross multiply
    224,071x = 309,224.46 × 123,475.48
  4. Step 4: Simplify right side
    224,071x = 38,181,638,626.24
  5. Step 5: Solve for x
    x = 38,181,638,626.24/224,071
  6. Step 6: Final answer
    x = 170,399.73

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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.