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Finding the Fourth Proportional to 205,222, 283,024.92 and 133,535.92

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Solution

The fourth proportional to 205,222, 283,024.92 and 133,535.92 is: 184,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,222 : 283,024.92 = 133,535.92 : x
  2. Step 2: Convert to fraction form
    205,222/283,024.92 = 133,535.92/x
  3. Step 3: Cross multiply
    205,222x = 283,024.92 × 133,535.92
  4. Step 4: Simplify right side
    205,222x = 37,793,993,075.13
  5. Step 5: Solve for x
    x = 37,793,993,075.13/205,222
  6. Step 6: Final answer
    x = 184,161.51

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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.