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Finding the Fourth Proportional to 203,193.71, 280,544.33 and 126,829.13

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Solution

The fourth proportional to 203,193.71, 280,544.33 and 126,829.13 is: 175,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,193.71 : 280,544.33 = 126,829.13 : x
  2. Step 2: Convert to fraction form
    203,193.71/280,544.33 = 126,829.13/x
  3. Step 3: Cross multiply
    203,193.71x = 280,544.33 × 126,829.13
  4. Step 4: Simplify right side
    203,193.71x = 35,581,193,300.33
  5. Step 5: Solve for x
    x = 35,581,193,300.33/203,193.71
  6. Step 6: Final answer
    x = 175,109.72

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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.