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Finding the Fourth Proportional to 422,083.72, 633,158.38 and 122,569.16

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Solution

The fourth proportional to 422,083.72, 633,158.38 and 122,569.16 is: 183,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,083.72 : 633,158.38 = 122,569.16 : x
  2. Step 2: Convert to fraction form
    422,083.72/633,158.38 = 122,569.16/x
  3. Step 3: Cross multiply
    422,083.72x = 633,158.38 × 122,569.16
  4. Step 4: Simplify right side
    422,083.72x = 77,605,690,783.56
  5. Step 5: Solve for x
    x = 77,605,690,783.56/422,083.72
  6. Step 6: Final answer
    x = 183,863.26

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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.