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Finding the Fourth Proportional to 242,422.65, 363,464.91 and 107,413.29

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Solution

The fourth proportional to 242,422.65, 363,464.91 and 107,413.29 is: 161,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,422.65 : 363,464.91 = 107,413.29 : x
  2. Step 2: Convert to fraction form
    242,422.65/363,464.91 = 107,413.29/x
  3. Step 3: Cross multiply
    242,422.65x = 363,464.91 × 107,413.29
  4. Step 4: Simplify right side
    242,422.65x = 39,040,961,782.65
  5. Step 5: Solve for x
    x = 39,040,961,782.65/242,422.65
  6. Step 6: Final answer
    x = 161,045.03

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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.