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Finding the Fourth Proportional to 126,413.42, 174,447.45 and 72,697.25

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Solution

The fourth proportional to 126,413.42, 174,447.45 and 72,697.25 is: 100,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,413.42 : 174,447.45 = 72,697.25 : x
  2. Step 2: Convert to fraction form
    126,413.42/174,447.45 = 72,697.25/x
  3. Step 3: Cross multiply
    126,413.42x = 174,447.45 × 72,697.25
  4. Step 4: Simplify right side
    126,413.42x = 12,681,850,320.63
  5. Step 5: Solve for x
    x = 12,681,850,320.63/126,413.42
  6. Step 6: Final answer
    x = 100,320.45

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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.