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Finding the Fourth Proportional to 137,509.42, 206,264.29 and 37,670.47

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Solution

The fourth proportional to 137,509.42, 206,264.29 and 37,670.47 is: 56,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.42 : 206,264.29 = 37,670.47 : x
  2. Step 2: Convert to fraction form
    137,509.42/206,264.29 = 37,670.47/x
  3. Step 3: Cross multiply
    137,509.42x = 206,264.29 × 37,670.47
  4. Step 4: Simplify right side
    137,509.42x = 7,770,072,748.52
  5. Step 5: Solve for x
    x = 7,770,072,748.52/137,509.42
  6. Step 6: Final answer
    x = 56,505.75

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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.