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Finding the Fourth Proportional to 117,786.12, 176,680.62 and 65,298.12

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Solution

The fourth proportional to 117,786.12, 176,680.62 and 65,298.12 is: 97,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,786.12 : 176,680.62 = 65,298.12 : x
  2. Step 2: Convert to fraction form
    117,786.12/176,680.62 = 65,298.12/x
  3. Step 3: Cross multiply
    117,786.12x = 176,680.62 × 65,298.12
  4. Step 4: Simplify right side
    117,786.12x = 11,536,912,326.43
  5. Step 5: Solve for x
    x = 11,536,912,326.43/117,786.12
  6. Step 6: Final answer
    x = 97,947.98

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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.