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Finding the Fourth Proportional to 270,093.97, 405,141.14 and 70,413.85

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Solution

The fourth proportional to 270,093.97, 405,141.14 and 70,413.85 is: 105,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,093.97 : 405,141.14 = 70,413.85 : x
  2. Step 2: Convert to fraction form
    270,093.97/405,141.14 = 70,413.85/x
  3. Step 3: Cross multiply
    270,093.97x = 405,141.14 × 70,413.85
  4. Step 4: Simplify right side
    270,093.97x = 28,527,547,460.79
  5. Step 5: Solve for x
    x = 28,527,547,460.79/270,093.97
  6. Step 6: Final answer
    x = 105,620.82

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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.