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Finding the Fourth Proportional to 205,136.40, 307,373.40 and 116,125.20

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Solution

The fourth proportional to 205,136.40, 307,373.40 and 116,125.20 is: 174,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,136.40 : 307,373.40 = 116,125.20 : x
  2. Step 2: Convert to fraction form
    205,136.40/307,373.40 = 116,125.20/x
  3. Step 3: Cross multiply
    205,136.40x = 307,373.40 × 116,125.20
  4. Step 4: Simplify right side
    205,136.40x = 35,693,797,549.68
  5. Step 5: Solve for x
    x = 35,693,797,549.68/205,136.40
  6. Step 6: Final answer
    x = 174,000.31

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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.