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Finding the Fourth Proportional to 179,544, 269,326.80 and 54,886.08

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Solution

The fourth proportional to 179,544, 269,326.80 and 54,886.08 is: 82,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,544 : 269,326.80 = 54,886.08 : x
  2. Step 2: Convert to fraction form
    179,544/269,326.80 = 54,886.08/x
  3. Step 3: Cross multiply
    179,544x = 269,326.80 × 54,886.08
  4. Step 4: Simplify right side
    179,544x = 14,782,292,290.94
  5. Step 5: Solve for x
    x = 14,782,292,290.94/179,544
  6. Step 6: Final answer
    x = 82,332.42

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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.