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Finding the Fourth Proportional to 137,635.48, 206,428.56 and 37,782.53

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Solution

The fourth proportional to 137,635.48, 206,428.56 and 37,782.53 is: 56,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,635.48 : 206,428.56 = 37,782.53 : x
  2. Step 2: Convert to fraction form
    137,635.48/206,428.56 = 37,782.53/x
  3. Step 3: Cross multiply
    137,635.48x = 206,428.56 × 37,782.53
  4. Step 4: Simplify right side
    137,635.48x = 7,799,393,261.06
  5. Step 5: Solve for x
    x = 7,799,393,261.06/137,635.48
  6. Step 6: Final answer
    x = 56,667.03

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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.