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Finding the Fourth Proportional to 126,413.76, 174,443.76 and 75,483.96

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Solution

The fourth proportional to 126,413.76, 174,443.76 and 75,483.96 is: 104,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,413.76 : 174,443.76 = 75,483.96 : x
  2. Step 2: Convert to fraction form
    126,413.76/174,443.76 = 75,483.96/x
  3. Step 3: Cross multiply
    126,413.76x = 174,443.76 × 75,483.96
  4. Step 4: Simplify right side
    126,413.76x = 13,167,705,802.09
  5. Step 5: Solve for x
    x = 13,167,705,802.09/126,413.76
  6. Step 6: Final answer
    x = 104,163.55

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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.