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Finding the Fourth Proportional to 170,838.80, 256,231.80 and 58,493.20

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Solution

The fourth proportional to 170,838.80, 256,231.80 and 58,493.20 is: 87,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838.80 : 256,231.80 = 58,493.20 : x
  2. Step 2: Convert to fraction form
    170,838.80/256,231.80 = 58,493.20/x
  3. Step 3: Cross multiply
    170,838.80x = 256,231.80 × 58,493.20
  4. Step 4: Simplify right side
    170,838.80x = 14,987,817,923.76
  5. Step 5: Solve for x
    x = 14,987,817,923.76/170,838.80
  6. Step 6: Final answer
    x = 87,730.76

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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.