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Finding the Fourth Proportional to 131,659.90, 197,489.85 and 105,415.90

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Solution

The fourth proportional to 131,659.90, 197,489.85 and 105,415.90 is: 158,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,659.90 : 197,489.85 = 105,415.90 : x
  2. Step 2: Convert to fraction form
    131,659.90/197,489.85 = 105,415.90/x
  3. Step 3: Cross multiply
    131,659.90x = 197,489.85 × 105,415.90
  4. Step 4: Simplify right side
    131,659.90x = 20,818,570,278.62
  5. Step 5: Solve for x
    x = 20,818,570,278.62/131,659.90
  6. Step 6: Final answer
    x = 158,123.85

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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.