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Finding the Fourth Proportional to 200,707.92, 301,005.72 and 60,446.16

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Solution

The fourth proportional to 200,707.92, 301,005.72 and 60,446.16 is: 90,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,707.92 : 301,005.72 = 60,446.16 : x
  2. Step 2: Convert to fraction form
    200,707.92/301,005.72 = 60,446.16/x
  3. Step 3: Cross multiply
    200,707.92x = 301,005.72 × 60,446.16
  4. Step 4: Simplify right side
    200,707.92x = 18,194,639,912.04
  5. Step 5: Solve for x
    x = 18,194,639,912.04/200,707.92
  6. Step 6: Final answer
    x = 90,652.33

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Why These Related Problems?

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