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Finding the Fourth Proportional to 142,642.90, 213,624.74 and 82,544.69

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Solution

The fourth proportional to 142,642.90, 213,624.74 and 82,544.69 is: 123,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,642.90 : 213,624.74 = 82,544.69 : x
  2. Step 2: Convert to fraction form
    142,642.90/213,624.74 = 82,544.69/x
  3. Step 3: Cross multiply
    142,642.90x = 213,624.74 × 82,544.69
  4. Step 4: Simplify right side
    142,642.90x = 17,633,587,077.87
  5. Step 5: Solve for x
    x = 17,633,587,077.87/142,642.90
  6. Step 6: Final answer
    x = 123,620.50

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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.