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Finding the Fourth Proportional to 130,523.98, 195,873.46 and 83,809.66

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Solution

The fourth proportional to 130,523.98, 195,873.46 and 83,809.66 is: 125,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,523.98 : 195,873.46 = 83,809.66 : x
  2. Step 2: Convert to fraction form
    130,523.98/195,873.46 = 83,809.66/x
  3. Step 3: Cross multiply
    130,523.98x = 195,873.46 × 83,809.66
  4. Step 4: Simplify right side
    130,523.98x = 16,416,087,876.10
  5. Step 5: Solve for x
    x = 16,416,087,876.10/130,523.98
  6. Step 6: Final answer
    x = 125,770.67

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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.