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Finding the Fourth Proportional to 142,050.96, 211,912.16 and 138,189.69

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Solution

The fourth proportional to 142,050.96, 211,912.16 and 138,189.69 is: 206,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,050.96 : 211,912.16 = 138,189.69 : x
  2. Step 2: Convert to fraction form
    142,050.96/211,912.16 = 138,189.69/x
  3. Step 3: Cross multiply
    142,050.96x = 211,912.16 × 138,189.69
  4. Step 4: Simplify right side
    142,050.96x = 29,284,075,006.68
  5. Step 5: Solve for x
    x = 29,284,075,006.68/142,050.96
  6. Step 6: Final answer
    x = 206,151.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.