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Finding the Fourth Proportional to 137,683.35, 206,530.09 and 37,851.35

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Solution

The fourth proportional to 137,683.35, 206,530.09 and 37,851.35 is: 56,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,683.35 : 206,530.09 = 37,851.35 : x
  2. Step 2: Convert to fraction form
    137,683.35/206,530.09 = 37,851.35/x
  3. Step 3: Cross multiply
    137,683.35x = 206,530.09 × 37,851.35
  4. Step 4: Simplify right side
    137,683.35x = 7,817,441,594.84
  5. Step 5: Solve for x
    x = 7,817,441,594.84/137,683.35
  6. Step 6: Final answer
    x = 56,778.41

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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.