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Finding the Fourth Proportional to 137,810.66, 206,523.41 and 74,494.26

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Solution

The fourth proportional to 137,810.66, 206,523.41 and 74,494.26 is: 111,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,810.66 : 206,523.41 = 74,494.26 : x
  2. Step 2: Convert to fraction form
    137,810.66/206,523.41 = 74,494.26/x
  3. Step 3: Cross multiply
    137,810.66x = 206,523.41 × 74,494.26
  4. Step 4: Simplify right side
    137,810.66x = 15,384,808,228.16
  5. Step 5: Solve for x
    x = 15,384,808,228.16/137,810.66
  6. Step 6: Final answer
    x = 111,637.29

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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.