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Finding the Fourth Proportional to 235,223.69, 352,491.08 and 116,658.23

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Solution

The fourth proportional to 235,223.69, 352,491.08 and 116,658.23 is: 174,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,223.69 : 352,491.08 = 116,658.23 : x
  2. Step 2: Convert to fraction form
    235,223.69/352,491.08 = 116,658.23/x
  3. Step 3: Cross multiply
    235,223.69x = 352,491.08 × 116,658.23
  4. Step 4: Simplify right side
    235,223.69x = 41,120,985,781.52
  5. Step 5: Solve for x
    x = 41,120,985,781.52/235,223.69
  6. Step 6: Final answer
    x = 174,816.51

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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.