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Finding the Fourth Proportional to 260,171.82, 359,044.11 and 146,992.14

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Solution

The fourth proportional to 260,171.82, 359,044.11 and 146,992.14 is: 202,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,171.82 : 359,044.11 = 146,992.14 : x
  2. Step 2: Convert to fraction form
    260,171.82/359,044.11 = 146,992.14/x
  3. Step 3: Cross multiply
    260,171.82x = 359,044.11 × 146,992.14
  4. Step 4: Simplify right side
    260,171.82x = 52,776,662,083.30
  5. Step 5: Solve for x
    x = 52,776,662,083.30/260,171.82
  6. Step 6: Final answer
    x = 202,853.11

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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.