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Finding the Fourth Proportional to 296,088, 408,607.20 and 161,954.88

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Solution

The fourth proportional to 296,088, 408,607.20 and 161,954.88 is: 223,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,088 : 408,607.20 = 161,954.88 : x
  2. Step 2: Convert to fraction form
    296,088/408,607.20 = 161,954.88/x
  3. Step 3: Cross multiply
    296,088x = 408,607.20 × 161,954.88
  4. Step 4: Simplify right side
    296,088x = 66,175,930,043.14
  5. Step 5: Solve for x
    x = 66,175,930,043.14/296,088
  6. Step 6: Final answer
    x = 223,500.89

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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.