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Finding the Fourth Proportional to 170,488.50, 255,723.44 and 52,159.84

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Solution

The fourth proportional to 170,488.50, 255,723.44 and 52,159.84 is: 78,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,488.50 : 255,723.44 = 52,159.84 : x
  2. Step 2: Convert to fraction form
    170,488.50/255,723.44 = 52,159.84/x
  3. Step 3: Cross multiply
    170,488.50x = 255,723.44 × 52,159.84
  4. Step 4: Simplify right side
    170,488.50x = 13,338,493,714.65
  5. Step 5: Solve for x
    x = 13,338,493,714.65/170,488.50
  6. Step 6: Final answer
    x = 78,236.91

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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.