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Finding the Fourth Proportional to 166,590.90, 229,734 and 141,095.34

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Solution

The fourth proportional to 166,590.90, 229,734 and 141,095.34 is: 194,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,590.90 : 229,734 = 141,095.34 : x
  2. Step 2: Convert to fraction form
    166,590.90/229,734 = 141,095.34/x
  3. Step 3: Cross multiply
    166,590.90x = 229,734 × 141,095.34
  4. Step 4: Simplify right side
    166,590.90x = 32,414,396,839.56
  5. Step 5: Solve for x
    x = 32,414,396,839.56/166,590.90
  6. Step 6: Final answer
    x = 194,574.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.