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Finding the Fourth Proportional to 137,783.50, 206,648.07 and 37,918.06

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Solution

The fourth proportional to 137,783.50, 206,648.07 and 37,918.06 is: 56,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,783.50 : 206,648.07 = 37,918.06 : x
  2. Step 2: Convert to fraction form
    137,783.50/206,648.07 = 37,918.06/x
  3. Step 3: Cross multiply
    137,783.50x = 206,648.07 × 37,918.06
  4. Step 4: Simplify right side
    137,783.50x = 7,835,693,917.14
  5. Step 5: Solve for x
    x = 7,835,693,917.14/137,783.50
  6. Step 6: Final answer
    x = 56,869.61

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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.