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Finding the Fourth Proportional to 201,198.60, 301,838.40 and 59,043.60

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Solution

The fourth proportional to 201,198.60, 301,838.40 and 59,043.60 is: 88,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,198.60 : 301,838.40 = 59,043.60 : x
  2. Step 2: Convert to fraction form
    201,198.60/301,838.40 = 59,043.60/x
  3. Step 3: Cross multiply
    201,198.60x = 301,838.40 × 59,043.60
  4. Step 4: Simplify right side
    201,198.60x = 17,821,625,754.24
  5. Step 5: Solve for x
    x = 17,821,625,754.24/201,198.60
  6. Step 6: Final answer
    x = 88,577.29

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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.