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Finding the Fourth Proportional to 116,091.09, 174,214.31 and 42,219.09

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Solution

The fourth proportional to 116,091.09, 174,214.31 and 42,219.09 is: 63,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,091.09 : 174,214.31 = 42,219.09 : x
  2. Step 2: Convert to fraction form
    116,091.09/174,214.31 = 42,219.09/x
  3. Step 3: Cross multiply
    116,091.09x = 174,214.31 × 42,219.09
  4. Step 4: Simplify right side
    116,091.09x = 7,355,169,422.08
  5. Step 5: Solve for x
    x = 7,355,169,422.08/116,091.09
  6. Step 6: Final answer
    x = 63,356.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.