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Finding the Fourth Proportional to 151,166.87, 208,609.86 and 83,188.25

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Solution

The fourth proportional to 151,166.87, 208,609.86 and 83,188.25 is: 114,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,166.87 : 208,609.86 = 83,188.25 : x
  2. Step 2: Convert to fraction form
    151,166.87/208,609.86 = 83,188.25/x
  3. Step 3: Cross multiply
    151,166.87x = 208,609.86 × 83,188.25
  4. Step 4: Simplify right side
    151,166.87x = 17,353,889,824.05
  5. Step 5: Solve for x
    x = 17,353,889,824.05/151,166.87
  6. Step 6: Final answer
    x = 114,799.56

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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.