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Finding the Fourth Proportional to 117,422.46, 176,131.65 and 47,299.98

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Solution

The fourth proportional to 117,422.46, 176,131.65 and 47,299.98 is: 70,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,422.46 : 176,131.65 = 47,299.98 : x
  2. Step 2: Convert to fraction form
    117,422.46/176,131.65 = 47,299.98/x
  3. Step 3: Cross multiply
    117,422.46x = 176,131.65 × 47,299.98
  4. Step 4: Simplify right side
    117,422.46x = 8,331,023,522.37
  5. Step 5: Solve for x
    x = 8,331,023,522.37/117,422.46
  6. Step 6: Final answer
    x = 70,949.15

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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.