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Finding the Fourth Proportional to 151,561, 209,149.36 and 83,580.84

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Solution

The fourth proportional to 151,561, 209,149.36 and 83,580.84 is: 115,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,561 : 209,149.36 = 83,580.84 : x
  2. Step 2: Convert to fraction form
    151,561/209,149.36 = 83,580.84/x
  3. Step 3: Cross multiply
    151,561x = 209,149.36 × 83,580.84
  4. Step 4: Simplify right side
    151,561x = 17,480,879,194.26
  5. Step 5: Solve for x
    x = 17,480,879,194.26/151,561
  6. Step 6: Final answer
    x = 115,338.90

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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.