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Finding the Fourth Proportional to 259,706.13, 358,394.82 and 146,539.41

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Solution

The fourth proportional to 259,706.13, 358,394.82 and 146,539.41 is: 202,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,706.13 : 358,394.82 = 146,539.41 : x
  2. Step 2: Convert to fraction form
    259,706.13/358,394.82 = 146,539.41/x
  3. Step 3: Cross multiply
    259,706.13x = 358,394.82 × 146,539.41
  4. Step 4: Simplify right side
    259,706.13x = 52,518,965,469.86
  5. Step 5: Solve for x
    x = 52,518,965,469.86/259,706.13
  6. Step 6: Final answer
    x = 202,224.59

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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.