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Finding the Fourth Proportional to 170,484.31, 255,736.71 and 52,156.68

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Solution

The fourth proportional to 170,484.31, 255,736.71 and 52,156.68 is: 78,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,484.31 : 255,736.71 = 52,156.68 : x
  2. Step 2: Convert to fraction form
    170,484.31/255,736.71 = 52,156.68/x
  3. Step 3: Cross multiply
    170,484.31x = 255,736.71 × 52,156.68
  4. Step 4: Simplify right side
    170,484.31x = 13,338,377,747.72
  5. Step 5: Solve for x
    x = 13,338,377,747.72/170,484.31
  6. Step 6: Final answer
    x = 78,238.15

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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.