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Finding the Fourth Proportional to 137,051.33, 205,438.94 and 57,133.51

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Solution

The fourth proportional to 137,051.33, 205,438.94 and 57,133.51 is: 85,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,051.33 : 205,438.94 = 57,133.51 : x
  2. Step 2: Convert to fraction form
    137,051.33/205,438.94 = 57,133.51/x
  3. Step 3: Cross multiply
    137,051.33x = 205,438.94 × 57,133.51
  4. Step 4: Simplify right side
    137,051.33x = 11,737,446,420.02
  5. Step 5: Solve for x
    x = 11,737,446,420.02/137,051.33
  6. Step 6: Final answer
    x = 85,642.71

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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.