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Finding the Fourth Proportional to 196,029.52, 270,406.56 and 142,252

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Solution

The fourth proportional to 196,029.52, 270,406.56 and 142,252 is: 196,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,029.52 : 270,406.56 = 142,252 : x
  2. Step 2: Convert to fraction form
    196,029.52/270,406.56 = 142,252/x
  3. Step 3: Cross multiply
    196,029.52x = 270,406.56 × 142,252
  4. Step 4: Simplify right side
    196,029.52x = 38,465,873,973.12
  5. Step 5: Solve for x
    x = 38,465,873,973.12/196,029.52
  6. Step 6: Final answer
    x = 196,224.91

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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.