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Finding the Fourth Proportional to 151,585.75, 209,185.50 and 83,609.07

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Solution

The fourth proportional to 151,585.75, 209,185.50 and 83,609.07 is: 115,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,585.75 : 209,185.50 = 83,609.07 : x
  2. Step 2: Convert to fraction form
    151,585.75/209,185.50 = 83,609.07/x
  3. Step 3: Cross multiply
    151,585.75x = 209,185.50 × 83,609.07
  4. Step 4: Simplify right side
    151,585.75x = 17,489,805,112.49
  5. Step 5: Solve for x
    x = 17,489,805,112.49/151,585.75
  6. Step 6: Final answer
    x = 115,378.95

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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.