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Finding the Fourth Proportional to 137,891.54, 190,291.06 and 77,464.74

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Solution

The fourth proportional to 137,891.54, 190,291.06 and 77,464.74 is: 106,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,891.54 : 190,291.06 = 77,464.74 : x
  2. Step 2: Convert to fraction form
    137,891.54/190,291.06 = 77,464.74/x
  3. Step 3: Cross multiply
    137,891.54x = 190,291.06 × 77,464.74
  4. Step 4: Simplify right side
    137,891.54x = 14,740,847,487.22
  5. Step 5: Solve for x
    x = 14,740,847,487.22/137,891.54
  6. Step 6: Final answer
    x = 106,901.75

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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.