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Finding the Fourth Proportional to 142,644.24, 213,946.92 and 63,737.28

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Solution

The fourth proportional to 142,644.24, 213,946.92 and 63,737.28 is: 95,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,644.24 : 213,946.92 = 63,737.28 : x
  2. Step 2: Convert to fraction form
    142,644.24/213,946.92 = 63,737.28/x
  3. Step 3: Cross multiply
    142,644.24x = 213,946.92 × 63,737.28
  4. Step 4: Simplify right side
    142,644.24x = 13,636,394,745.18
  5. Step 5: Solve for x
    x = 13,636,394,745.18/142,644.24
  6. Step 6: Final answer
    x = 95,597.23

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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.