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Finding the Fourth Proportional to 147,137, 203,035.04 and 82,591.46

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Solution

The fourth proportional to 147,137, 203,035.04 and 82,591.46 is: 113,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,137 : 203,035.04 = 82,591.46 : x
  2. Step 2: Convert to fraction form
    147,137/203,035.04 = 82,591.46/x
  3. Step 3: Cross multiply
    147,137x = 203,035.04 × 82,591.46
  4. Step 4: Simplify right side
    147,137x = 16,768,960,384.76
  5. Step 5: Solve for x
    x = 16,768,960,384.76/147,137
  6. Step 6: Final answer
    x = 113,968.35

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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.