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Finding the Fourth Proportional to 188,294.63, 259,848.41 and 103,413.51

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Solution

The fourth proportional to 188,294.63, 259,848.41 and 103,413.51 is: 142,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,294.63 : 259,848.41 = 103,413.51 : x
  2. Step 2: Convert to fraction form
    188,294.63/259,848.41 = 103,413.51/x
  3. Step 3: Cross multiply
    188,294.63x = 259,848.41 × 103,413.51
  4. Step 4: Simplify right side
    188,294.63x = 26,871,835,628.95
  5. Step 5: Solve for x
    x = 26,871,835,628.95/188,294.63
  6. Step 6: Final answer
    x = 142,711.64

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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.