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Finding the Fourth Proportional to 201,011.80, 301,748.10 and 117,952.60

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Solution

The fourth proportional to 201,011.80, 301,748.10 and 117,952.60 is: 177,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,011.80 : 301,748.10 = 117,952.60 : x
  2. Step 2: Convert to fraction form
    201,011.80/301,748.10 = 117,952.60/x
  3. Step 3: Cross multiply
    201,011.80x = 301,748.10 × 117,952.60
  4. Step 4: Simplify right side
    201,011.80x = 35,591,972,940.06
  5. Step 5: Solve for x
    x = 35,591,972,940.06/201,011.80
  6. Step 6: Final answer
    x = 177,064.10

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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.