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Finding the Fourth Proportional to 235,672.49, 353,564.10 and 77,900.94

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Solution

The fourth proportional to 235,672.49, 353,564.10 and 77,900.94 is: 116,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,672.49 : 353,564.10 = 77,900.94 : x
  2. Step 2: Convert to fraction form
    235,672.49/353,564.10 = 77,900.94/x
  3. Step 3: Cross multiply
    235,672.49x = 353,564.10 × 77,900.94
  4. Step 4: Simplify right side
    235,672.49x = 27,542,975,740.25
  5. Step 5: Solve for x
    x = 27,542,975,740.25/235,672.49
  6. Step 6: Final answer
    x = 116,869.71

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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.