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Finding the Fourth Proportional to 137,706.75, 206,557.56 and 37,866.51

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Solution

The fourth proportional to 137,706.75, 206,557.56 and 37,866.51 is: 56,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.75 : 206,557.56 = 37,866.51 : x
  2. Step 2: Convert to fraction form
    137,706.75/206,557.56 = 37,866.51/x
  3. Step 3: Cross multiply
    137,706.75x = 206,557.56 × 37,866.51
  4. Step 4: Simplify right side
    137,706.75x = 7,821,613,911.32
  5. Step 5: Solve for x
    x = 7,821,613,911.32/137,706.75
  6. Step 6: Final answer
    x = 56,799.06

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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.