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Finding the Fourth Proportional to 205,145.96, 308,260.15 and 110,446.16

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Solution

The fourth proportional to 205,145.96, 308,260.15 and 110,446.16 is: 165,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,145.96 : 308,260.15 = 110,446.16 : x
  2. Step 2: Convert to fraction form
    205,145.96/308,260.15 = 110,446.16/x
  3. Step 3: Cross multiply
    205,145.96x = 308,260.15 × 110,446.16
  4. Step 4: Simplify right side
    205,145.96x = 34,046,148,031.11
  5. Step 5: Solve for x
    x = 34,046,148,031.11/205,145.96
  6. Step 6: Final answer
    x = 165,960.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.