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Finding the Fourth Proportional to 132,456, 198,684.48 and 125,811.84

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Solution

The fourth proportional to 132,456, 198,684.48 and 125,811.84 is: 188,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,456 : 198,684.48 = 125,811.84 : x
  2. Step 2: Convert to fraction form
    132,456/198,684.48 = 125,811.84/x
  3. Step 3: Cross multiply
    132,456x = 198,684.48 × 125,811.84
  4. Step 4: Simplify right side
    132,456x = 24,996,860,008.24
  5. Step 5: Solve for x
    x = 24,996,860,008.24/132,456
  6. Step 6: Final answer
    x = 188,718.22

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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.