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Finding the Fourth Proportional to 137,422.35, 206,133.56 and 37,574.96

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Solution

The fourth proportional to 137,422.35, 206,133.56 and 37,574.96 is: 56,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,422.35 : 206,133.56 = 37,574.96 : x
  2. Step 2: Convert to fraction form
    137,422.35/206,133.56 = 37,574.96/x
  3. Step 3: Cross multiply
    137,422.35x = 206,133.56 × 37,574.96
  4. Step 4: Simplify right side
    137,422.35x = 7,745,460,933.27
  5. Step 5: Solve for x
    x = 7,745,460,933.27/137,422.35
  6. Step 6: Final answer
    x = 56,362.46

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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.