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Finding the Fourth Proportional to 269,701.14, 404,426.55 and 157,413.81

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Solution

The fourth proportional to 269,701.14, 404,426.55 and 157,413.81 is: 236,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,701.14 : 404,426.55 = 157,413.81 : x
  2. Step 2: Convert to fraction form
    269,701.14/404,426.55 = 157,413.81/x
  3. Step 3: Cross multiply
    269,701.14x = 404,426.55 × 157,413.81
  4. Step 4: Simplify right side
    269,701.14x = 63,662,324,100.66
  5. Step 5: Solve for x
    x = 63,662,324,100.66/269,701.14
  6. Step 6: Final answer
    x = 236,047.66

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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.