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Finding the Fourth Proportional to 200,989.62, 301,090.37 and 116,572.46

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Solution

The fourth proportional to 200,989.62, 301,090.37 and 116,572.46 is: 174,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,989.62 : 301,090.37 = 116,572.46 : x
  2. Step 2: Convert to fraction form
    200,989.62/301,090.37 = 116,572.46/x
  3. Step 3: Cross multiply
    200,989.62x = 301,090.37 × 116,572.46
  4. Step 4: Simplify right side
    200,989.62x = 35,098,843,024.90
  5. Step 5: Solve for x
    x = 35,098,843,024.90/200,989.62
  6. Step 6: Final answer
    x = 174,630.13

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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.