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Finding the Fourth Proportional to 302,272.50, 417,138.48 and 168,136.50

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Solution

The fourth proportional to 302,272.50, 417,138.48 and 168,136.50 is: 232,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,272.50 : 417,138.48 = 168,136.50 : x
  2. Step 2: Convert to fraction form
    302,272.50/417,138.48 = 168,136.50/x
  3. Step 3: Cross multiply
    302,272.50x = 417,138.48 × 168,136.50
  4. Step 4: Simplify right side
    302,272.50x = 70,136,204,042.52
  5. Step 5: Solve for x
    x = 70,136,204,042.52/302,272.50
  6. Step 6: Final answer
    x = 232,029.72

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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.