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Finding the Fourth Proportional to 114,327.78, 157,743.82 and 65,944.50

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Solution

The fourth proportional to 114,327.78, 157,743.82 and 65,944.50 is: 90,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,327.78 : 157,743.82 = 65,944.50 : x
  2. Step 2: Convert to fraction form
    114,327.78/157,743.82 = 65,944.50/x
  3. Step 3: Cross multiply
    114,327.78x = 157,743.82 × 65,944.50
  4. Step 4: Simplify right side
    114,327.78x = 10,402,337,337.99
  5. Step 5: Solve for x
    x = 10,402,337,337.99/114,327.78
  6. Step 6: Final answer
    x = 90,986.96

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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.