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Finding the Fourth Proportional to 132,597.19, 198,902.34 and 37,841.34

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Solution

The fourth proportional to 132,597.19, 198,902.34 and 37,841.34 is: 56,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,597.19 : 198,902.34 = 37,841.34 : x
  2. Step 2: Convert to fraction form
    132,597.19/198,902.34 = 37,841.34/x
  3. Step 3: Cross multiply
    132,597.19x = 198,902.34 × 37,841.34
  4. Step 4: Simplify right side
    132,597.19x = 7,526,731,074.74
  5. Step 5: Solve for x
    x = 7,526,731,074.74/132,597.19
  6. Step 6: Final answer
    x = 56,763.88

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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.