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Finding the Fourth Proportional to 218,413.38, 301,326.71 and 135,588.51

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Solution

The fourth proportional to 218,413.38, 301,326.71 and 135,588.51 is: 187,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,413.38 : 301,326.71 = 135,588.51 : x
  2. Step 2: Convert to fraction form
    218,413.38/301,326.71 = 135,588.51/x
  3. Step 3: Cross multiply
    218,413.38x = 301,326.71 × 135,588.51
  4. Step 4: Simplify right side
    218,413.38x = 40,856,438,954.16
  5. Step 5: Solve for x
    x = 40,856,438,954.16/218,413.38
  6. Step 6: Final answer
    x = 187,060.15

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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.