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Finding the Fourth Proportional to 172,309.14, 258,475.96 and 45,948.68

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Solution

The fourth proportional to 172,309.14, 258,475.96 and 45,948.68 is: 68,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,309.14 : 258,475.96 = 45,948.68 : x
  2. Step 2: Convert to fraction form
    172,309.14/258,475.96 = 45,948.68/x
  3. Step 3: Cross multiply
    172,309.14x = 258,475.96 × 45,948.68
  4. Step 4: Simplify right side
    172,309.14x = 11,876,630,362.00
  5. Step 5: Solve for x
    x = 11,876,630,362.00/172,309.14
  6. Step 6: Final answer
    x = 68,926.29

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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.