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Finding the Fourth Proportional to 114,930.80, 172,026.84 and 61,489.44

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Solution

The fourth proportional to 114,930.80, 172,026.84 and 61,489.44 is: 92,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,930.80 : 172,026.84 = 61,489.44 : x
  2. Step 2: Convert to fraction form
    114,930.80/172,026.84 = 61,489.44/x
  3. Step 3: Cross multiply
    114,930.80x = 172,026.84 × 61,489.44
  4. Step 4: Simplify right side
    114,930.80x = 10,577,834,056.57
  5. Step 5: Solve for x
    x = 10,577,834,056.57/114,930.80
  6. Step 6: Final answer
    x = 92,036.55

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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.