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Finding the Fourth Proportional to 210,126.36, 289,891.84 and 129,413.81

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Solution

The fourth proportional to 210,126.36, 289,891.84 and 129,413.81 is: 178,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,126.36 : 289,891.84 = 129,413.81 : x
  2. Step 2: Convert to fraction form
    210,126.36/289,891.84 = 129,413.81/x
  3. Step 3: Cross multiply
    210,126.36x = 289,891.84 × 129,413.81
  4. Step 4: Simplify right side
    210,126.36x = 37,516,007,502.31
  5. Step 5: Solve for x
    x = 37,516,007,502.31/210,126.36
  6. Step 6: Final answer
    x = 178,540.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.