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Finding the Fourth Proportional to 147,593, 203,678.14 and 80,525

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Solution

The fourth proportional to 147,593, 203,678.14 and 80,525 is: 111,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,593 : 203,678.14 = 80,525 : x
  2. Step 2: Convert to fraction form
    147,593/203,678.14 = 80,525/x
  3. Step 3: Cross multiply
    147,593x = 203,678.14 × 80,525
  4. Step 4: Simplify right side
    147,593x = 16,401,182,223.50
  5. Step 5: Solve for x
    x = 16,401,182,223.50/147,593
  6. Step 6: Final answer
    x = 111,124.39

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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.