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Finding the Fourth Proportional to 199,642.60, 275,559.78 and 114,769

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Solution

The fourth proportional to 199,642.60, 275,559.78 and 114,769 is: 158,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,642.60 : 275,559.78 = 114,769 : x
  2. Step 2: Convert to fraction form
    199,642.60/275,559.78 = 114,769/x
  3. Step 3: Cross multiply
    199,642.60x = 275,559.78 × 114,769
  4. Step 4: Simplify right side
    199,642.60x = 31,625,720,390.82
  5. Step 5: Solve for x
    x = 31,625,720,390.82/199,642.60
  6. Step 6: Final answer
    x = 158,411.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.