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Finding the Fourth Proportional to 204,560.40, 282,296.52 and 115,136.40

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Solution

The fourth proportional to 204,560.40, 282,296.52 and 115,136.40 is: 158,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,560.40 : 282,296.52 = 115,136.40 : x
  2. Step 2: Convert to fraction form
    204,560.40/282,296.52 = 115,136.40/x
  3. Step 3: Cross multiply
    204,560.40x = 282,296.52 × 115,136.40
  4. Step 4: Simplify right side
    204,560.40x = 32,502,605,045.33
  5. Step 5: Solve for x
    x = 32,502,605,045.33/204,560.40
  6. Step 6: Final answer
    x = 158,890.02

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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.