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Finding the Fourth Proportional to 235,104.81, 352,700.96 and 77,339.49

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Solution

The fourth proportional to 235,104.81, 352,700.96 and 77,339.49 is: 116,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,104.81 : 352,700.96 = 77,339.49 : x
  2. Step 2: Convert to fraction form
    235,104.81/352,700.96 = 77,339.49/x
  3. Step 3: Cross multiply
    235,104.81x = 352,700.96 × 77,339.49
  4. Step 4: Simplify right side
    235,104.81x = 27,277,711,982.21
  5. Step 5: Solve for x
    x = 27,277,711,982.21/235,104.81
  6. Step 6: Final answer
    x = 116,023.62

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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.