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Finding the Fourth Proportional to 255,182.56, 382,855.80 and 77,723.92

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Solution

The fourth proportional to 255,182.56, 382,855.80 and 77,723.92 is: 116,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,182.56 : 382,855.80 = 77,723.92 : x
  2. Step 2: Convert to fraction form
    255,182.56/382,855.80 = 77,723.92/x
  3. Step 3: Cross multiply
    255,182.56x = 382,855.80 × 77,723.92
  4. Step 4: Simplify right side
    255,182.56x = 29,757,053,570.74
  5. Step 5: Solve for x
    x = 29,757,053,570.74/255,182.56
  6. Step 6: Final answer
    x = 116,610.84

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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.