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Finding the Fourth Proportional to 258,369.14, 356,646.85 and 150,974.08

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Solution

The fourth proportional to 258,369.14, 356,646.85 and 150,974.08 is: 208,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,369.14 : 356,646.85 = 150,974.08 : x
  2. Step 2: Convert to fraction form
    258,369.14/356,646.85 = 150,974.08/x
  3. Step 3: Cross multiply
    258,369.14x = 356,646.85 × 150,974.08
  4. Step 4: Simplify right side
    258,369.14x = 53,844,428,794.60
  5. Step 5: Solve for x
    x = 53,844,428,794.60/258,369.14
  6. Step 6: Final answer
    x = 208,401.16

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Why These Related Problems?

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