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Finding the Fourth Proportional to 216,090, 298,203.12 and 120,591

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Solution

The fourth proportional to 216,090, 298,203.12 and 120,591 is: 166,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,090 : 298,203.12 = 120,591 : x
  2. Step 2: Convert to fraction form
    216,090/298,203.12 = 120,591/x
  3. Step 3: Cross multiply
    216,090x = 298,203.12 × 120,591
  4. Step 4: Simplify right side
    216,090x = 35,960,612,443.92
  5. Step 5: Solve for x
    x = 35,960,612,443.92/216,090
  6. Step 6: Final answer
    x = 166,414.98

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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.