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Finding the Fourth Proportional to 105,413.76, 145,477.44 and 60,716.16

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Solution

The fourth proportional to 105,413.76, 145,477.44 and 60,716.16 is: 83,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,413.76 : 145,477.44 = 60,716.16 : x
  2. Step 2: Convert to fraction form
    105,413.76/145,477.44 = 60,716.16/x
  3. Step 3: Cross multiply
    105,413.76x = 145,477.44 × 60,716.16
  4. Step 4: Simplify right side
    105,413.76x = 8,832,831,523.43
  5. Step 5: Solve for x
    x = 8,832,831,523.43/105,413.76
  6. Step 6: Final answer
    x = 83,792.02

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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.