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Finding the Fourth Proportional to 259,523.66, 358,142.68 and 146,346.44

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Solution

The fourth proportional to 259,523.66, 358,142.68 and 146,346.44 is: 201,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,523.66 : 358,142.68 = 146,346.44 : x
  2. Step 2: Convert to fraction form
    259,523.66/358,142.68 = 146,346.44/x
  3. Step 3: Cross multiply
    259,523.66x = 358,142.68 × 146,346.44
  4. Step 4: Simplify right side
    259,523.66x = 52,412,904,073.48
  5. Step 5: Solve for x
    x = 52,412,904,073.48/259,523.66
  6. Step 6: Final answer
    x = 201,958.10

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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.