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Finding the Fourth Proportional to 185,076.92, 255,448.31 and 120,432.23

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Solution

The fourth proportional to 185,076.92, 255,448.31 and 120,432.23 is: 166,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,076.92 : 255,448.31 = 120,432.23 : x
  2. Step 2: Convert to fraction form
    185,076.92/255,448.31 = 120,432.23/x
  3. Step 3: Cross multiply
    185,076.92x = 255,448.31 × 120,432.23
  4. Step 4: Simplify right side
    185,076.92x = 30,764,209,623.03
  5. Step 5: Solve for x
    x = 30,764,209,623.03/185,076.92
  6. Step 6: Final answer
    x = 166,223.91

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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.