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Finding the Fourth Proportional to 170,561.84, 255,843.38 and 52,232.70

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Solution

The fourth proportional to 170,561.84, 255,843.38 and 52,232.70 is: 78,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,561.84 : 255,843.38 = 52,232.70 : x
  2. Step 2: Convert to fraction form
    170,561.84/255,843.38 = 52,232.70/x
  3. Step 3: Cross multiply
    170,561.84x = 255,843.38 × 52,232.70
  4. Step 4: Simplify right side
    170,561.84x = 13,363,390,514.53
  5. Step 5: Solve for x
    x = 13,363,390,514.53/170,561.84
  6. Step 6: Final answer
    x = 78,349.24

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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.