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Finding the Fourth Proportional to 144,073.44, 198,801.76 and 83,634.48

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Solution

The fourth proportional to 144,073.44, 198,801.76 and 83,634.48 is: 115,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,073.44 : 198,801.76 = 83,634.48 : x
  2. Step 2: Convert to fraction form
    144,073.44/198,801.76 = 83,634.48/x
  3. Step 3: Cross multiply
    144,073.44x = 198,801.76 × 83,634.48
  4. Step 4: Simplify right side
    144,073.44x = 16,626,681,820.68
  5. Step 5: Solve for x
    x = 16,626,681,820.68/144,073.44
  6. Step 6: Final answer
    x = 115,404.21

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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.