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Finding the Fourth Proportional to 216,430.38, 298,668.20 and 120,937.86

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Solution

The fourth proportional to 216,430.38, 298,668.20 and 120,937.86 is: 166,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,430.38 : 298,668.20 = 120,937.86 : x
  2. Step 2: Convert to fraction form
    216,430.38/298,668.20 = 120,937.86/x
  3. Step 3: Cross multiply
    216,430.38x = 298,668.20 × 120,937.86
  4. Step 4: Simplify right side
    216,430.38x = 36,120,292,353.36
  5. Step 5: Solve for x
    x = 36,120,292,353.36/216,430.38
  6. Step 6: Final answer
    x = 166,891.05

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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.