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Finding the Fourth Proportional to 142,663.97, 213,995.44 and 42,823.73

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Solution

The fourth proportional to 142,663.97, 213,995.44 and 42,823.73 is: 64,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,663.97 : 213,995.44 = 42,823.73 : x
  2. Step 2: Convert to fraction form
    142,663.97/213,995.44 = 42,823.73/x
  3. Step 3: Cross multiply
    142,663.97x = 213,995.44 × 42,823.73
  4. Step 4: Simplify right side
    142,663.97x = 9,164,082,943.79
  5. Step 5: Solve for x
    x = 9,164,082,943.79/142,663.97
  6. Step 6: Final answer
    x = 64,235.44

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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.