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Finding the Fourth Proportional to 176,134.80, 263,899.80 and 82,448.40

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Solution

The fourth proportional to 176,134.80, 263,899.80 and 82,448.40 is: 123,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,134.80 : 263,899.80 = 82,448.40 : x
  2. Step 2: Convert to fraction form
    176,134.80/263,899.80 = 82,448.40/x
  3. Step 3: Cross multiply
    176,134.80x = 263,899.80 × 82,448.40
  4. Step 4: Simplify right side
    176,134.80x = 21,758,116,270.32
  5. Step 5: Solve for x
    x = 21,758,116,270.32/176,134.80
  6. Step 6: Final answer
    x = 123,531.05

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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.