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Finding the Fourth Proportional to 131,714.60, 197,571.90 and 96,722.60

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Solution

The fourth proportional to 131,714.60, 197,571.90 and 96,722.60 is: 145,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,714.60 : 197,571.90 = 96,722.60 : x
  2. Step 2: Convert to fraction form
    131,714.60/197,571.90 = 96,722.60/x
  3. Step 3: Cross multiply
    131,714.60x = 197,571.90 × 96,722.60
  4. Step 4: Simplify right side
    131,714.60x = 19,109,667,854.94
  5. Step 5: Solve for x
    x = 19,109,667,854.94/131,714.60
  6. Step 6: Final answer
    x = 145,083.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.