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Finding the Fourth Proportional to 137,509.92, 206,265.04 and 37,670.97

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Solution

The fourth proportional to 137,509.92, 206,265.04 and 37,670.97 is: 56,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.92 : 206,265.04 = 37,670.97 : x
  2. Step 2: Convert to fraction form
    137,509.92/206,265.04 = 37,670.97/x
  3. Step 3: Cross multiply
    137,509.92x = 206,265.04 × 37,670.97
  4. Step 4: Simplify right side
    137,509.92x = 7,770,204,133.89
  5. Step 5: Solve for x
    x = 7,770,204,133.89/137,509.92
  6. Step 6: Final answer
    x = 56,506.50

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1.5x scale

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.