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Finding the Fourth Proportional to 200,782.08, 277,077.38 and 110,136.24

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Solution

The fourth proportional to 200,782.08, 277,077.38 and 110,136.24 is: 151,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782.08 : 277,077.38 = 110,136.24 : x
  2. Step 2: Convert to fraction form
    200,782.08/277,077.38 = 110,136.24/x
  3. Step 3: Cross multiply
    200,782.08x = 277,077.38 × 110,136.24
  4. Step 4: Simplify right side
    200,782.08x = 30,516,260,271.57
  5. Step 5: Solve for x
    x = 30,516,260,271.57/200,782.08
  6. Step 6: Final answer
    x = 151,986.97

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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.