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Finding the Fourth Proportional to 137,187.66, 205,793.82 and 37,348.38

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Solution

The fourth proportional to 137,187.66, 205,793.82 and 37,348.38 is: 56,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,187.66 : 205,793.82 = 37,348.38 : x
  2. Step 2: Convert to fraction form
    137,187.66/205,793.82 = 37,348.38/x
  3. Step 3: Cross multiply
    137,187.66x = 205,793.82 × 37,348.38
  4. Step 4: Simplify right side
    137,187.66x = 7,686,065,791.01
  5. Step 5: Solve for x
    x = 7,686,065,791.01/137,187.66
  6. Step 6: Final answer
    x = 56,025.93

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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.