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Finding the Fourth Proportional to 117,214.84, 175,819.80 and 28,468.78

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Solution

The fourth proportional to 117,214.84, 175,819.80 and 28,468.78 is: 42,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,214.84 : 175,819.80 = 28,468.78 : x
  2. Step 2: Convert to fraction form
    117,214.84/175,819.80 = 28,468.78/x
  3. Step 3: Cross multiply
    117,214.84x = 175,819.80 × 28,468.78
  4. Step 4: Simplify right side
    117,214.84x = 5,005,375,205.84
  5. Step 5: Solve for x
    x = 5,005,375,205.84/117,214.84
  6. Step 6: Final answer
    x = 42,702.57

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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.