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Finding the Fourth Proportional to 200,743.63, 301,020.10 and 116,529.62

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Solution

The fourth proportional to 200,743.63, 301,020.10 and 116,529.62 is: 174,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743.63 : 301,020.10 = 116,529.62 : x
  2. Step 2: Convert to fraction form
    200,743.63/301,020.10 = 116,529.62/x
  3. Step 3: Cross multiply
    200,743.63x = 301,020.10 × 116,529.62
  4. Step 4: Simplify right side
    200,743.63x = 35,077,757,762.18
  5. Step 5: Solve for x
    x = 35,077,757,762.18/200,743.63
  6. Step 6: Final answer
    x = 174,739.08

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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.