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Finding the Fourth Proportional to 235,470.93, 353,218.64 and 77,711.69

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Solution

The fourth proportional to 235,470.93, 353,218.64 and 77,711.69 is: 116,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,470.93 : 353,218.64 = 77,711.69 : x
  2. Step 2: Convert to fraction form
    235,470.93/353,218.64 = 77,711.69/x
  3. Step 3: Cross multiply
    235,470.93x = 353,218.64 × 77,711.69
  4. Step 4: Simplify right side
    235,470.93x = 27,449,215,299.25
  5. Step 5: Solve for x
    x = 27,449,215,299.25/235,470.93
  6. Step 6: Final answer
    x = 116,571.57

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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.