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Finding the Fourth Proportional to 117,422.96, 176,132.40 and 47,300.48

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Solution

The fourth proportional to 117,422.96, 176,132.40 and 47,300.48 is: 70,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,422.96 : 176,132.40 = 47,300.48 : x
  2. Step 2: Convert to fraction form
    117,422.96/176,132.40 = 47,300.48/x
  3. Step 3: Cross multiply
    117,422.96x = 176,132.40 × 47,300.48
  4. Step 4: Simplify right side
    117,422.96x = 8,331,147,063.55
  5. Step 5: Solve for x
    x = 8,331,147,063.55/117,422.96
  6. Step 6: Final answer
    x = 70,949.90

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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.