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Finding the Fourth Proportional to 205,364.10, 307,585.35 and 168,500.10

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Solution

The fourth proportional to 205,364.10, 307,585.35 and 168,500.10 is: 252,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.10 : 307,585.35 = 168,500.10 : x
  2. Step 2: Convert to fraction form
    205,364.10/307,585.35 = 168,500.10/x
  3. Step 3: Cross multiply
    205,364.10x = 307,585.35 × 168,500.10
  4. Step 4: Simplify right side
    205,364.10x = 51,828,162,233.54
  5. Step 5: Solve for x
    x = 51,828,162,233.54/205,364.10
  6. Step 6: Final answer
    x = 252,372.07

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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.