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Finding the Fourth Proportional to 142,029.92, 213,044.61 and 82,824.06

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Solution

The fourth proportional to 142,029.92, 213,044.61 and 82,824.06 is: 124,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,029.92 : 213,044.61 = 82,824.06 : x
  2. Step 2: Convert to fraction form
    142,029.92/213,044.61 = 82,824.06/x
  3. Step 3: Cross multiply
    142,029.92x = 213,044.61 × 82,824.06
  4. Step 4: Simplify right side
    142,029.92x = 17,645,219,561.32
  5. Step 5: Solve for x
    x = 17,645,219,561.32/142,029.92
  6. Step 6: Final answer
    x = 124,235.94

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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.