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Finding the Fourth Proportional to 216,461.34, 298,717.76 and 120,969.63

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Solution

The fourth proportional to 216,461.34, 298,717.76 and 120,969.63 is: 166,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,461.34 : 298,717.76 = 120,969.63 : x
  2. Step 2: Convert to fraction form
    216,461.34/298,717.76 = 120,969.63/x
  3. Step 3: Cross multiply
    216,461.34x = 298,717.76 × 120,969.63
  4. Step 4: Simplify right side
    216,461.34x = 36,135,776,296.78
  5. Step 5: Solve for x
    x = 36,135,776,296.78/216,461.34
  6. Step 6: Final answer
    x = 166,938.71

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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.