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Finding the Fourth Proportional to 117,722.40, 176,523.12 and 34,605.60

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Solution

The fourth proportional to 117,722.40, 176,523.12 and 34,605.60 is: 51,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,722.40 : 176,523.12 = 34,605.60 : x
  2. Step 2: Convert to fraction form
    117,722.40/176,523.12 = 34,605.60/x
  3. Step 3: Cross multiply
    117,722.40x = 176,523.12 × 34,605.60
  4. Step 4: Simplify right side
    117,722.40x = 6,108,688,481.47
  5. Step 5: Solve for x
    x = 6,108,688,481.47/117,722.40
  6. Step 6: Final answer
    x = 51,890.62

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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.