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Finding the Fourth Proportional to 117,694.60, 176,282.70 and 82,443.40

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Solution

The fourth proportional to 117,694.60, 176,282.70 and 82,443.40 is: 123,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,694.60 : 176,282.70 = 82,443.40 : x
  2. Step 2: Convert to fraction form
    117,694.60/176,282.70 = 82,443.40/x
  3. Step 3: Cross multiply
    117,694.60x = 176,282.70 × 82,443.40
  4. Step 4: Simplify right side
    117,694.60x = 14,533,345,149.18
  5. Step 5: Solve for x
    x = 14,533,345,149.18/117,694.60
  6. Step 6: Final answer
    x = 123,483.53

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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.