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Finding the Fourth Proportional to 261,244.57, 391,977.81 and 142,777.51

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Solution

The fourth proportional to 261,244.57, 391,977.81 and 142,777.51 is: 214,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,244.57 : 391,977.81 = 142,777.51 : x
  2. Step 2: Convert to fraction form
    261,244.57/391,977.81 = 142,777.51/x
  3. Step 3: Cross multiply
    261,244.57x = 391,977.81 × 142,777.51
  4. Step 4: Simplify right side
    261,244.57x = 55,965,615,687.05
  5. Step 5: Solve for x
    x = 55,965,615,687.05/261,244.57
  6. Step 6: Final answer
    x = 214,226.91

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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.