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Finding the Fourth Proportional to 216,432, 298,675.24 and 120,938.69

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Solution

The fourth proportional to 216,432, 298,675.24 and 120,938.69 is: 166,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,432 : 298,675.24 = 120,938.69 : x
  2. Step 2: Convert to fraction form
    216,432/298,675.24 = 120,938.69/x
  3. Step 3: Cross multiply
    216,432x = 298,675.24 × 120,938.69
  4. Step 4: Simplify right side
    216,432x = 36,121,392,705.38
  5. Step 5: Solve for x
    x = 36,121,392,705.38/216,432
  6. Step 6: Final answer
    x = 166,894.88

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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.