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Finding the Fourth Proportional to 259,504.91, 358,116.82 and 146,327.66

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Solution

The fourth proportional to 259,504.91, 358,116.82 and 146,327.66 is: 201,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,504.91 : 358,116.82 = 146,327.66 : x
  2. Step 2: Convert to fraction form
    259,504.91/358,116.82 = 146,327.66/x
  3. Step 3: Cross multiply
    259,504.91x = 358,116.82 × 146,327.66
  4. Step 4: Simplify right side
    259,504.91x = 52,402,394,120.84
  5. Step 5: Solve for x
    x = 52,402,394,120.84/259,504.91
  6. Step 6: Final answer
    x = 201,932.19

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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.