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Finding the Fourth Proportional to 137,509.38, 206,264.24 and 37,670.45

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Solution

The fourth proportional to 137,509.38, 206,264.24 and 37,670.45 is: 56,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.38 : 206,264.24 = 37,670.45 : x
  2. Step 2: Convert to fraction form
    137,509.38/206,264.24 = 37,670.45/x
  3. Step 3: Cross multiply
    137,509.38x = 206,264.24 × 37,670.45
  4. Step 4: Simplify right side
    137,509.38x = 7,770,065,802.56
  5. Step 5: Solve for x
    x = 7,770,065,802.56/137,509.38
  6. Step 6: Final answer
    x = 56,505.71

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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.