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Finding the Fourth Proportional to 166,934.64, 230,375.70 and 91,483.14

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Solution

The fourth proportional to 166,934.64, 230,375.70 and 91,483.14 is: 126,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,934.64 : 230,375.70 = 91,483.14 : x
  2. Step 2: Convert to fraction form
    166,934.64/230,375.70 = 91,483.14/x
  3. Step 3: Cross multiply
    166,934.64x = 230,375.70 × 91,483.14
  4. Step 4: Simplify right side
    166,934.64x = 21,075,492,415.70
  5. Step 5: Solve for x
    x = 21,075,492,415.70/166,934.64
  6. Step 6: Final answer
    x = 126,249.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.