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Finding the Fourth Proportional to 149,978.26, 206,888.13 and 96,203.46

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Solution

The fourth proportional to 149,978.26, 206,888.13 and 96,203.46 is: 132,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,978.26 : 206,888.13 = 96,203.46 : x
  2. Step 2: Convert to fraction form
    149,978.26/206,888.13 = 96,203.46/x
  3. Step 3: Cross multiply
    149,978.26x = 206,888.13 × 96,203.46
  4. Step 4: Simplify right side
    149,978.26x = 19,903,353,938.93
  5. Step 5: Solve for x
    x = 19,903,353,938.93/149,978.26
  6. Step 6: Final answer
    x = 132,708.26

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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.