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Finding the Fourth Proportional to 151,301.12, 208,793.84 and 83,316.74

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Solution

The fourth proportional to 151,301.12, 208,793.84 and 83,316.74 is: 114,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,301.12 : 208,793.84 = 83,316.74 : x
  2. Step 2: Convert to fraction form
    151,301.12/208,793.84 = 83,316.74/x
  3. Step 3: Cross multiply
    151,301.12x = 208,793.84 × 83,316.74
  4. Step 4: Simplify right side
    151,301.12x = 17,396,020,620.33
  5. Step 5: Solve for x
    x = 17,396,020,620.33/151,301.12
  6. Step 6: Final answer
    x = 114,976.16

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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.