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Finding the Fourth Proportional to 206,413.38, 284,852.82 and 114,534.33

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Solution

The fourth proportional to 206,413.38, 284,852.82 and 114,534.33 is: 158,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.38 : 284,852.82 = 114,534.33 : x
  2. Step 2: Convert to fraction form
    206,413.38/284,852.82 = 114,534.33/x
  3. Step 3: Cross multiply
    206,413.38x = 284,852.82 × 114,534.33
  4. Step 4: Simplify right side
    206,413.38x = 32,625,426,887.31
  5. Step 5: Solve for x
    x = 32,625,426,887.31/206,413.38
  6. Step 6: Final answer
    x = 158,058.68

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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.