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Finding the Fourth Proportional to 217,943.04, 300,774.24 and 164,133.12

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Solution

The fourth proportional to 217,943.04, 300,774.24 and 164,133.12 is: 226,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,943.04 : 300,774.24 = 164,133.12 : x
  2. Step 2: Convert to fraction form
    217,943.04/300,774.24 = 164,133.12/x
  3. Step 3: Cross multiply
    217,943.04x = 300,774.24 × 164,133.12
  4. Step 4: Simplify right side
    217,943.04x = 49,367,014,426.83
  5. Step 5: Solve for x
    x = 49,367,014,426.83/217,943.04
  6. Step 6: Final answer
    x = 226,513.38

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1.5x scale

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.