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Finding the Fourth Proportional to 177,610, 266,546.49 and 84,116.02

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Solution

The fourth proportional to 177,610, 266,546.49 and 84,116.02 is: 126,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,610 : 266,546.49 = 84,116.02 : x
  2. Step 2: Convert to fraction form
    177,610/266,546.49 = 84,116.02/x
  3. Step 3: Cross multiply
    177,610x = 266,546.49 × 84,116.02
  4. Step 4: Simplify right side
    177,610x = 22,420,829,883.77
  5. Step 5: Solve for x
    x = 22,420,829,883.77/177,610
  6. Step 6: Final answer
    x = 126,236.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.