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Finding the Fourth Proportional to 102,950.52, 142,065.12 and 57,620.88

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Solution

The fourth proportional to 102,950.52, 142,065.12 and 57,620.88 is: 79,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,950.52 : 142,065.12 = 57,620.88 : x
  2. Step 2: Convert to fraction form
    102,950.52/142,065.12 = 57,620.88/x
  3. Step 3: Cross multiply
    102,950.52x = 142,065.12 × 57,620.88
  4. Step 4: Simplify right side
    102,950.52x = 8,185,917,231.71
  5. Step 5: Solve for x
    x = 8,185,917,231.71/102,950.52
  6. Step 6: Final answer
    x = 79,513.12

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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.