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Finding the Fourth Proportional to 170,471.59, 255,666.31 and 52,143.95

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Solution

The fourth proportional to 170,471.59, 255,666.31 and 52,143.95 is: 78,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,471.59 : 255,666.31 = 52,143.95 : x
  2. Step 2: Convert to fraction form
    170,471.59/255,666.31 = 52,143.95/x
  3. Step 3: Cross multiply
    170,471.59x = 255,666.31 × 52,143.95
  4. Step 4: Simplify right side
    170,471.59x = 13,331,451,794.13
  5. Step 5: Solve for x
    x = 13,331,451,794.13/170,471.59
  6. Step 6: Final answer
    x = 78,203.37

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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.