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Finding the Fourth Proportional to 170,793.64, 256,193.50 and 52,466

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Solution

The fourth proportional to 170,793.64, 256,193.50 and 52,466 is: 78,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,793.64 : 256,193.50 = 52,466 : x
  2. Step 2: Convert to fraction form
    170,793.64/256,193.50 = 52,466/x
  3. Step 3: Cross multiply
    170,793.64x = 256,193.50 × 52,466
  4. Step 4: Simplify right side
    170,793.64x = 13,441,448,171
  5. Step 5: Solve for x
    x = 13,441,448,171/170,793.64
  6. Step 6: Final answer
    x = 78,699.93

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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.