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Finding the Fourth Proportional to 137,413.32, 189,587.34 and 76,975.80

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Solution

The fourth proportional to 137,413.32, 189,587.34 and 76,975.80 is: 106,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.32 : 189,587.34 = 76,975.80 : x
  2. Step 2: Convert to fraction form
    137,413.32/189,587.34 = 76,975.80/x
  3. Step 3: Cross multiply
    137,413.32x = 189,587.34 × 76,975.80
  4. Step 4: Simplify right side
    137,413.32x = 14,593,637,166.37
  5. Step 5: Solve for x
    x = 14,593,637,166.37/137,413.32
  6. Step 6: Final answer
    x = 106,202.49

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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.