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Finding the Fourth Proportional to 172,074, 258,120.72 and 61,266

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Solution

The fourth proportional to 172,074, 258,120.72 and 61,266 is: 91,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,074 : 258,120.72 = 61,266 : x
  2. Step 2: Convert to fraction form
    172,074/258,120.72 = 61,266/x
  3. Step 3: Cross multiply
    172,074x = 258,120.72 × 61,266
  4. Step 4: Simplify right side
    172,074x = 15,814,024,031.52
  5. Step 5: Solve for x
    x = 15,814,024,031.52/172,074
  6. Step 6: Final answer
    x = 91,902.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.