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Finding the Fourth Proportional to 217,126.57, 299,646.63 and 120,328.39

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Solution

The fourth proportional to 217,126.57, 299,646.63 and 120,328.39 is: 166,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,126.57 : 299,646.63 = 120,328.39 : x
  2. Step 2: Convert to fraction form
    217,126.57/299,646.63 = 120,328.39/x
  3. Step 3: Cross multiply
    217,126.57x = 299,646.63 × 120,328.39
  4. Step 4: Simplify right side
    217,126.57x = 36,055,996,556.83
  5. Step 5: Solve for x
    x = 36,055,996,556.83/217,126.57
  6. Step 6: Final answer
    x = 166,059.81

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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.