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Finding the Fourth Proportional to 137,693.48, 206,570.62 and 54,585.32

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Solution

The fourth proportional to 137,693.48, 206,570.62 and 54,585.32 is: 81,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,693.48 : 206,570.62 = 54,585.32 : x
  2. Step 2: Convert to fraction form
    137,693.48/206,570.62 = 54,585.32/x
  3. Step 3: Cross multiply
    137,693.48x = 206,570.62 × 54,585.32
  4. Step 4: Simplify right side
    137,693.48x = 11,275,723,395.30
  5. Step 5: Solve for x
    x = 11,275,723,395.30/137,693.48
  6. Step 6: Final answer
    x = 81,890.03

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Why These Related Problems?

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