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Finding the Fourth Proportional to 200,743.72, 301,020.27 and 116,529.71

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Solution

The fourth proportional to 200,743.72, 301,020.27 and 116,529.71 is: 174,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743.72 : 301,020.27 = 116,529.71 : x
  2. Step 2: Convert to fraction form
    200,743.72/301,020.27 = 116,529.71/x
  3. Step 3: Cross multiply
    200,743.72x = 301,020.27 × 116,529.71
  4. Step 4: Simplify right side
    200,743.72x = 35,077,802,825.13
  5. Step 5: Solve for x
    x = 35,077,802,825.13/200,743.72
  6. Step 6: Final answer
    x = 174,739.23

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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.