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Finding the Fourth Proportional to 151,584.75, 209,184.12 and 83,608.07

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Solution

The fourth proportional to 151,584.75, 209,184.12 and 83,608.07 is: 115,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,584.75 : 209,184.12 = 83,608.07 : x
  2. Step 2: Convert to fraction form
    151,584.75/209,184.12 = 83,608.07/x
  3. Step 3: Cross multiply
    151,584.75x = 209,184.12 × 83,608.07
  4. Step 4: Simplify right side
    151,584.75x = 17,489,479,501.93
  5. Step 5: Solve for x
    x = 17,489,479,501.93/151,584.75
  6. Step 6: Final answer
    x = 115,377.57

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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.