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Finding the Fourth Proportional to 147,866.30, 204,055.27 and 84,204.12

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Solution

The fourth proportional to 147,866.30, 204,055.27 and 84,204.12 is: 116,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,866.30 : 204,055.27 = 84,204.12 : x
  2. Step 2: Convert to fraction form
    147,866.30/204,055.27 = 84,204.12/x
  3. Step 3: Cross multiply
    147,866.30x = 204,055.27 × 84,204.12
  4. Step 4: Simplify right side
    147,866.30x = 17,182,294,441.71
  5. Step 5: Solve for x
    x = 17,182,294,441.71/147,866.30
  6. Step 6: Final answer
    x = 116,201.56

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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.