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Finding the Fourth Proportional to 201,227.80, 302,036.10 and 122,495.80

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Solution

The fourth proportional to 201,227.80, 302,036.10 and 122,495.80 is: 183,862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,227.80 : 302,036.10 = 122,495.80 : x
  2. Step 2: Convert to fraction form
    201,227.80/302,036.10 = 122,495.80/x
  3. Step 3: Cross multiply
    201,227.80x = 302,036.10 × 122,495.80
  4. Step 4: Simplify right side
    201,227.80x = 36,998,153,698.38
  5. Step 5: Solve for x
    x = 36,998,153,698.38/201,227.80
  6. Step 6: Final answer
    x = 183,862.04

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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.