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Finding the Fourth Proportional to 119,269, 164,591.54 and 66,277

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Solution

The fourth proportional to 119,269, 164,591.54 and 66,277 is: 91,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,269 : 164,591.54 = 66,277 : x
  2. Step 2: Convert to fraction form
    119,269/164,591.54 = 66,277/x
  3. Step 3: Cross multiply
    119,269x = 164,591.54 × 66,277
  4. Step 4: Simplify right side
    119,269x = 10,908,633,496.58
  5. Step 5: Solve for x
    x = 10,908,633,496.58/119,269
  6. Step 6: Final answer
    x = 91,462.44

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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.