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Finding the Fourth Proportional to 176,647.80, 264,971.70 and 120,660.60

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Solution

The fourth proportional to 176,647.80, 264,971.70 and 120,660.60 is: 180,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,647.80 : 264,971.70 = 120,660.60 : x
  2. Step 2: Convert to fraction form
    176,647.80/264,971.70 = 120,660.60/x
  3. Step 3: Cross multiply
    176,647.80x = 264,971.70 × 120,660.60
  4. Step 4: Simplify right side
    176,647.80x = 31,971,644,305.02
  5. Step 5: Solve for x
    x = 31,971,644,305.02/176,647.80
  6. Step 6: Final answer
    x = 180,990.90

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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.