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Finding the Fourth Proportional to 137,804.54, 190,191.06 and 84,120.80

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Solution

The fourth proportional to 137,804.54, 190,191.06 and 84,120.80 is: 116,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,804.54 : 190,191.06 = 84,120.80 : x
  2. Step 2: Convert to fraction form
    137,804.54/190,191.06 = 84,120.80/x
  3. Step 3: Cross multiply
    137,804.54x = 190,191.06 × 84,120.80
  4. Step 4: Simplify right side
    137,804.54x = 15,999,024,120.05
  5. Step 5: Solve for x
    x = 15,999,024,120.05/137,804.54
  6. Step 6: Final answer
    x = 116,099.40

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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.