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Finding the Fourth Proportional to 188,296.75, 259,851.54 and 103,413.81

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Solution

The fourth proportional to 188,296.75, 259,851.54 and 103,413.81 is: 142,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,296.75 : 259,851.54 = 103,413.81 : x
  2. Step 2: Convert to fraction form
    188,296.75/259,851.54 = 103,413.81/x
  3. Step 3: Cross multiply
    188,296.75x = 259,851.54 × 103,413.81
  4. Step 4: Simplify right side
    188,296.75x = 26,872,239,148.01
  5. Step 5: Solve for x
    x = 26,872,239,148.01/188,296.75
  6. Step 6: Final answer
    x = 142,712.18

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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.