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Finding the Fourth Proportional to 186,121.54, 256,893.34 and 105,596.20

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Solution

The fourth proportional to 186,121.54, 256,893.34 and 105,596.20 is: 145,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,121.54 : 256,893.34 = 105,596.20 : x
  2. Step 2: Convert to fraction form
    186,121.54/256,893.34 = 105,596.20/x
  3. Step 3: Cross multiply
    186,121.54x = 256,893.34 × 105,596.20
  4. Step 4: Simplify right side
    186,121.54x = 27,126,958,960.85
  5. Step 5: Solve for x
    x = 27,126,958,960.85/186,121.54
  6. Step 6: Final answer
    x = 145,748.63

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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.