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Finding the Fourth Proportional to 224,434.38, 309,720.51 and 123,832.38

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Solution

The fourth proportional to 224,434.38, 309,720.51 and 123,832.38 is: 170,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,434.38 : 309,720.51 = 123,832.38 : x
  2. Step 2: Convert to fraction form
    224,434.38/309,720.51 = 123,832.38/x
  3. Step 3: Cross multiply
    224,434.38x = 309,720.51 × 123,832.38
  4. Step 4: Simplify right side
    224,434.38x = 38,353,427,888.11
  5. Step 5: Solve for x
    x = 38,353,427,888.11/224,434.38
  6. Step 6: Final answer
    x = 170,889.27

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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.