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Finding the Fourth Proportional to 117,310.40, 176,224.80 and 82,318.40

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Solution

The fourth proportional to 117,310.40, 176,224.80 and 82,318.40 is: 123,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,310.40 : 176,224.80 = 82,318.40 : x
  2. Step 2: Convert to fraction form
    117,310.40/176,224.80 = 82,318.40/x
  3. Step 3: Cross multiply
    117,310.40x = 176,224.80 × 82,318.40
  4. Step 4: Simplify right side
    117,310.40x = 14,506,543,576.32
  5. Step 5: Solve for x
    x = 14,506,543,576.32/117,310.40
  6. Step 6: Final answer
    x = 123,659.48

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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.