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Finding the Fourth Proportional to 132,524.84, 198,809.59 and 61,418.64

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Solution

The fourth proportional to 132,524.84, 198,809.59 and 61,418.64 is: 92,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,524.84 : 198,809.59 = 61,418.64 : x
  2. Step 2: Convert to fraction form
    132,524.84/198,809.59 = 61,418.64/x
  3. Step 3: Cross multiply
    132,524.84x = 198,809.59 × 61,418.64
  4. Step 4: Simplify right side
    132,524.84x = 12,210,614,636.76
  5. Step 5: Solve for x
    x = 12,210,614,636.76/132,524.84
  6. Step 6: Final answer
    x = 92,138.31

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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.