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Finding the Fourth Proportional to 257,965.34, 356,002.39 and 149,066.06

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Solution

The fourth proportional to 257,965.34, 356,002.39 and 149,066.06 is: 205,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,965.34 : 356,002.39 = 149,066.06 : x
  2. Step 2: Convert to fraction form
    257,965.34/356,002.39 = 149,066.06/x
  3. Step 3: Cross multiply
    257,965.34x = 356,002.39 × 149,066.06
  4. Step 4: Simplify right side
    257,965.34x = 53,067,872,034.20
  5. Step 5: Solve for x
    x = 53,067,872,034.20/257,965.34
  6. Step 6: Final answer
    x = 205,717.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.