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Finding the Fourth Proportional to 259,583, 358,224.54 and 140,351

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Solution

The fourth proportional to 259,583, 358,224.54 and 140,351 is: 193,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,583 : 358,224.54 = 140,351 : x
  2. Step 2: Convert to fraction form
    259,583/358,224.54 = 140,351/x
  3. Step 3: Cross multiply
    259,583x = 358,224.54 × 140,351
  4. Step 4: Simplify right side
    259,583x = 50,277,172,413.54
  5. Step 5: Solve for x
    x = 50,277,172,413.54/259,583
  6. Step 6: Final answer
    x = 193,684.38

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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.