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Finding the Fourth Proportional to 235,756.44, 353,634.66 and 77,942.52

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Solution

The fourth proportional to 235,756.44, 353,634.66 and 77,942.52 is: 116,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,756.44 : 353,634.66 = 77,942.52 : x
  2. Step 2: Convert to fraction form
    235,756.44/353,634.66 = 77,942.52/x
  3. Step 3: Cross multiply
    235,756.44x = 353,634.66 × 77,942.52
  4. Step 4: Simplify right side
    235,756.44x = 27,563,176,559.74
  5. Step 5: Solve for x
    x = 27,563,176,559.74/235,756.44
  6. Step 6: Final answer
    x = 116,913.78

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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.