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Finding the Fourth Proportional to 216,423.38, 298,658.53 and 120,930.86

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Solution

The fourth proportional to 216,423.38, 298,658.53 and 120,930.86 is: 166,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,423.38 : 298,658.53 = 120,930.86 : x
  2. Step 2: Convert to fraction form
    216,423.38/298,658.53 = 120,930.86/x
  3. Step 3: Cross multiply
    216,423.38x = 298,658.53 × 120,930.86
  4. Step 4: Simplify right side
    216,423.38x = 36,117,032,879.24
  5. Step 5: Solve for x
    x = 36,117,032,879.24/216,423.38
  6. Step 6: Final answer
    x = 166,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.