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Finding the Fourth Proportional to 204,473.16, 306,612.54 and 71,337.32

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Solution

The fourth proportional to 204,473.16, 306,612.54 and 71,337.32 is: 106,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,473.16 : 306,612.54 = 71,337.32 : x
  2. Step 2: Convert to fraction form
    204,473.16/306,612.54 = 71,337.32/x
  3. Step 3: Cross multiply
    204,473.16x = 306,612.54 × 71,337.32
  4. Step 4: Simplify right side
    204,473.16x = 21,872,916,881.99
  5. Step 5: Solve for x
    x = 21,872,916,881.99/204,473.16
  6. Step 6: Final answer
    x = 106,972.07

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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.