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Finding the Fourth Proportional to 204,480.16, 306,623.04 and 71,344.32

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Solution

The fourth proportional to 204,480.16, 306,623.04 and 71,344.32 is: 106,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,480.16 : 306,623.04 = 71,344.32 : x
  2. Step 2: Convert to fraction form
    204,480.16/306,623.04 = 71,344.32/x
  3. Step 3: Cross multiply
    204,480.16x = 306,623.04 × 71,344.32
  4. Step 4: Simplify right side
    204,480.16x = 21,875,812,285.13
  5. Step 5: Solve for x
    x = 21,875,812,285.13/204,480.16
  6. Step 6: Final answer
    x = 106,982.57

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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.