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Finding the Fourth Proportional to 259,589.38, 358,233.16 and 146,412.14

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Solution

The fourth proportional to 259,589.38, 358,233.16 and 146,412.14 is: 202,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,589.38 : 358,233.16 = 146,412.14 : x
  2. Step 2: Convert to fraction form
    259,589.38/358,233.16 = 146,412.14/x
  3. Step 3: Cross multiply
    259,589.38x = 358,233.16 × 146,412.14
  4. Step 4: Simplify right side
    259,589.38x = 52,449,683,574.56
  5. Step 5: Solve for x
    x = 52,449,683,574.56/259,589.38
  6. Step 6: Final answer
    x = 202,048.65

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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.