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Finding the Fourth Proportional to 137,050.82, 205,438.19 and 57,133.01

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Solution

The fourth proportional to 137,050.82, 205,438.19 and 57,133.01 is: 85,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,050.82 : 205,438.19 = 57,133.01 : x
  2. Step 2: Convert to fraction form
    137,050.82/205,438.19 = 57,133.01/x
  3. Step 3: Cross multiply
    137,050.82x = 205,438.19 × 57,133.01
  4. Step 4: Simplify right side
    137,050.82x = 11,737,300,850.80
  5. Step 5: Solve for x
    x = 11,737,300,850.80/137,050.82
  6. Step 6: Final answer
    x = 85,641.96

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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.