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Finding the Fourth Proportional to 150,012.84, 206,829.54 and 96,202.92

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Solution

The fourth proportional to 150,012.84, 206,829.54 and 96,202.92 is: 132,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,012.84 : 206,829.54 = 96,202.92 : x
  2. Step 2: Convert to fraction form
    150,012.84/206,829.54 = 96,202.92/x
  3. Step 3: Cross multiply
    150,012.84x = 206,829.54 × 96,202.92
  4. Step 4: Simplify right side
    150,012.84x = 19,897,605,690.26
  5. Step 5: Solve for x
    x = 19,897,605,690.26/150,012.84
  6. Step 6: Final answer
    x = 132,639.35

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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.