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Finding the Fourth Proportional to 137,509.34, 206,264.19 and 37,670.41

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Solution

The fourth proportional to 137,509.34, 206,264.19 and 37,670.41 is: 56,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.34 : 206,264.19 = 37,670.41 : x
  2. Step 2: Convert to fraction form
    137,509.34/206,264.19 = 37,670.41/x
  3. Step 3: Cross multiply
    137,509.34x = 206,264.19 × 37,670.41
  4. Step 4: Simplify right side
    137,509.34x = 7,770,055,574.30
  5. Step 5: Solve for x
    x = 7,770,055,574.30/137,509.34
  6. Step 6: Final answer
    x = 56,505.66

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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.