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Finding the Fourth Proportional to 137,904.52, 206,448.54 and 85,144.36

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Solution

The fourth proportional to 137,904.52, 206,448.54 and 85,144.36 is: 127,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,904.52 : 206,448.54 = 85,144.36 : x
  2. Step 2: Convert to fraction form
    137,904.52/206,448.54 = 85,144.36/x
  3. Step 3: Cross multiply
    137,904.52x = 206,448.54 × 85,144.36
  4. Step 4: Simplify right side
    137,904.52x = 17,577,928,811.23
  5. Step 5: Solve for x
    x = 17,577,928,811.23/137,904.52
  6. Step 6: Final answer
    x = 127,464.49

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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.