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Finding the Fourth Proportional to 137,816.40, 206,697.24 and 37,950.72

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Solution

The fourth proportional to 137,816.40, 206,697.24 and 37,950.72 is: 56,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,816.40 : 206,697.24 = 37,950.72 : x
  2. Step 2: Convert to fraction form
    137,816.40/206,697.24 = 37,950.72/x
  3. Step 3: Cross multiply
    137,816.40x = 206,697.24 × 37,950.72
  4. Step 4: Simplify right side
    137,816.40x = 7,844,309,080.01
  5. Step 5: Solve for x
    x = 7,844,309,080.01/137,816.40
  6. Step 6: Final answer
    x = 56,918.55

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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.