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Finding the Fourth Proportional to 137,866.14, 206,813.58 and 38,026.35

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Solution

The fourth proportional to 137,866.14, 206,813.58 and 38,026.35 is: 57,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,866.14 : 206,813.58 = 38,026.35 : x
  2. Step 2: Convert to fraction form
    137,866.14/206,813.58 = 38,026.35/x
  3. Step 3: Cross multiply
    137,866.14x = 206,813.58 × 38,026.35
  4. Step 4: Simplify right side
    137,866.14x = 7,864,365,720.43
  5. Step 5: Solve for x
    x = 7,864,365,720.43/137,866.14
  6. Step 6: Final answer
    x = 57,043.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.