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Finding the Fourth Proportional to 516,093.88, 774,140.90 and 161,138.31

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Solution

The fourth proportional to 516,093.88, 774,140.90 and 161,138.31 is: 241,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,093.88 : 774,140.90 = 161,138.31 : x
  2. Step 2: Convert to fraction form
    516,093.88/774,140.90 = 161,138.31/x
  3. Step 3: Cross multiply
    516,093.88x = 774,140.90 × 161,138.31
  4. Step 4: Simplify right side
    516,093.88x = 124,743,756,973.70
  5. Step 5: Solve for x
    x = 124,743,756,973.70/516,093.88
  6. Step 6: Final answer
    x = 241,707.49

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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.