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Finding the Fourth Proportional to 188,707.14, 260,415.87 and 103,822.38

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Solution

The fourth proportional to 188,707.14, 260,415.87 and 103,822.38 is: 143,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,707.14 : 260,415.87 = 103,822.38 : x
  2. Step 2: Convert to fraction form
    188,707.14/260,415.87 = 103,822.38/x
  3. Step 3: Cross multiply
    188,707.14x = 260,415.87 × 103,822.38
  4. Step 4: Simplify right side
    188,707.14x = 27,036,995,413.17
  5. Step 5: Solve for x
    x = 27,036,995,413.17/188,707.14
  6. Step 6: Final answer
    x = 143,274.89

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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.