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Finding the Fourth Proportional to 235,475.81, 353,225.93 and 77,716.56

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Solution

The fourth proportional to 235,475.81, 353,225.93 and 77,716.56 is: 116,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,475.81 : 353,225.93 = 77,716.56 : x
  2. Step 2: Convert to fraction form
    235,475.81/353,225.93 = 77,716.56/x
  3. Step 3: Cross multiply
    235,475.81x = 353,225.93 × 77,716.56
  4. Step 4: Simplify right side
    235,475.81x = 27,451,504,182.40
  5. Step 5: Solve for x
    x = 27,451,504,182.40/235,475.81
  6. Step 6: Final answer
    x = 116,578.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.