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Finding the Fourth Proportional to 217,945.08, 300,753 and 146,315.16

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Solution

The fourth proportional to 217,945.08, 300,753 and 146,315.16 is: 201,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,945.08 : 300,753 = 146,315.16 : x
  2. Step 2: Convert to fraction form
    217,945.08/300,753 = 146,315.16/x
  3. Step 3: Cross multiply
    217,945.08x = 300,753 × 146,315.16
  4. Step 4: Simplify right side
    217,945.08x = 44,004,723,315.48
  5. Step 5: Solve for x
    x = 44,004,723,315.48/217,945.08
  6. Step 6: Final answer
    x = 201,907.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.