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Finding the Fourth Proportional to 204,908.10, 307,362.15 and 204,908.10

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Solution

The fourth proportional to 204,908.10, 307,362.15 and 204,908.10 is: 307,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,908.10 : 307,362.15 = 204,908.10 : x
  2. Step 2: Convert to fraction form
    204,908.10/307,362.15 = 204,908.10/x
  3. Step 3: Cross multiply
    204,908.10x = 307,362.15 × 204,908.10
  4. Step 4: Simplify right side
    204,908.10x = 62,980,994,168.42
  5. Step 5: Solve for x
    x = 62,980,994,168.42/204,908.10
  6. Step 6: Final answer
    x = 307,362.15

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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.