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Finding the Fourth Proportional to 182,642.30, 274,006.65 and 57,983.30

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Solution

The fourth proportional to 182,642.30, 274,006.65 and 57,983.30 is: 86,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,642.30 : 274,006.65 = 57,983.30 : x
  2. Step 2: Convert to fraction form
    182,642.30/274,006.65 = 57,983.30/x
  3. Step 3: Cross multiply
    182,642.30x = 274,006.65 × 57,983.30
  4. Step 4: Simplify right side
    182,642.30x = 15,887,809,788.95
  5. Step 5: Solve for x
    x = 15,887,809,788.95/182,642.30
  6. Step 6: Final answer
    x = 86,988.66

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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.