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Finding the Fourth Proportional to 201,649.30, 302,583.30 and 83,332.60

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Solution

The fourth proportional to 201,649.30, 302,583.30 and 83,332.60 is: 125,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,649.30 : 302,583.30 = 83,332.60 : x
  2. Step 2: Convert to fraction form
    201,649.30/302,583.30 = 83,332.60/x
  3. Step 3: Cross multiply
    201,649.30x = 302,583.30 × 83,332.60
  4. Step 4: Simplify right side
    201,649.30x = 25,215,053,105.58
  5. Step 5: Solve for x
    x = 25,215,053,105.58/201,649.30
  6. Step 6: Final answer
    x = 125,044.09

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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.