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Finding the Fourth Proportional to 149,978.76, 206,888.82 and 96,203.96

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Solution

The fourth proportional to 149,978.76, 206,888.82 and 96,203.96 is: 132,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,978.76 : 206,888.82 = 96,203.96 : x
  2. Step 2: Convert to fraction form
    149,978.76/206,888.82 = 96,203.96/x
  3. Step 3: Cross multiply
    149,978.76x = 206,888.82 × 96,203.96
  4. Step 4: Simplify right side
    149,978.76x = 19,903,523,763.73
  5. Step 5: Solve for x
    x = 19,903,523,763.73/149,978.76
  6. Step 6: Final answer
    x = 132,708.95

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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.