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Finding the Fourth Proportional to 223,664, 335,496 and 57,452

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Solution

The fourth proportional to 223,664, 335,496 and 57,452 is: 86,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,664 : 335,496 = 57,452 : x
  2. Step 2: Convert to fraction form
    223,664/335,496 = 57,452/x
  3. Step 3: Cross multiply
    223,664x = 335,496 × 57,452
  4. Step 4: Simplify right side
    223,664x = 19,274,916,192
  5. Step 5: Solve for x
    x = 19,274,916,192/223,664
  6. Step 6: Final answer
    x = 86,178

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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.