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Finding the Fourth Proportional to 137,740.50, 190,081.89 and 78,124.50

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Solution

The fourth proportional to 137,740.50, 190,081.89 and 78,124.50 is: 107,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,740.50 : 190,081.89 = 78,124.50 : x
  2. Step 2: Convert to fraction form
    137,740.50/190,081.89 = 78,124.50/x
  3. Step 3: Cross multiply
    137,740.50x = 190,081.89 × 78,124.50
  4. Step 4: Simplify right side
    137,740.50x = 14,850,052,615.31
  5. Step 5: Solve for x
    x = 14,850,052,615.31/137,740.50
  6. Step 6: Final answer
    x = 107,811.81

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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.