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Finding the Fourth Proportional to 182,886.02, 274,301.31 and 49,776.65

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Solution

The fourth proportional to 182,886.02, 274,301.31 and 49,776.65 is: 74,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,886.02 : 274,301.31 = 49,776.65 : x
  2. Step 2: Convert to fraction form
    182,886.02/274,301.31 = 49,776.65/x
  3. Step 3: Cross multiply
    182,886.02x = 274,301.31 × 49,776.65
  4. Step 4: Simplify right side
    182,886.02x = 13,653,798,930.90
  5. Step 5: Solve for x
    x = 13,653,798,930.90/182,886.02
  6. Step 6: Final answer
    x = 74,657.42

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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.