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Finding the Fourth Proportional to 137,825.60, 190,219.94 and 84,141.84

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Solution

The fourth proportional to 137,825.60, 190,219.94 and 84,141.84 is: 116,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,825.60 : 190,219.94 = 84,141.84 : x
  2. Step 2: Convert to fraction form
    137,825.60/190,219.94 = 84,141.84/x
  3. Step 3: Cross multiply
    137,825.60x = 190,219.94 × 84,141.84
  4. Step 4: Simplify right side
    137,825.60x = 16,005,455,335.58
  5. Step 5: Solve for x
    x = 16,005,455,335.58/137,825.60
  6. Step 6: Final answer
    x = 116,128.32

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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.