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Finding the Fourth Proportional to 207,127.38, 285,658.74 and 142,699.44

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Solution

The fourth proportional to 207,127.38, 285,658.74 and 142,699.44 is: 196,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,127.38 : 285,658.74 = 142,699.44 : x
  2. Step 2: Convert to fraction form
    207,127.38/285,658.74 = 142,699.44/x
  3. Step 3: Cross multiply
    207,127.38x = 285,658.74 × 142,699.44
  4. Step 4: Simplify right side
    207,127.38x = 40,763,342,229.11
  5. Step 5: Solve for x
    x = 40,763,342,229.11/207,127.38
  6. Step 6: Final answer
    x = 196,803.25

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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.