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Finding the Fourth Proportional to 175,878.71, 263,842.65 and 57,526.46

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Solution

The fourth proportional to 175,878.71, 263,842.65 and 57,526.46 is: 86,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,878.71 : 263,842.65 = 57,526.46 : x
  2. Step 2: Convert to fraction form
    175,878.71/263,842.65 = 57,526.46/x
  3. Step 3: Cross multiply
    175,878.71x = 263,842.65 × 57,526.46
  4. Step 4: Simplify right side
    175,878.71x = 15,177,933,651.52
  5. Step 5: Solve for x
    x = 15,177,933,651.52/175,878.71
  6. Step 6: Final answer
    x = 86,297.73

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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.