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Finding the Fourth Proportional to 201,029.80, 301,544.70 and 197,919.40

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Solution

The fourth proportional to 201,029.80, 301,544.70 and 197,919.40 is: 296,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,029.80 : 301,544.70 = 197,919.40 : x
  2. Step 2: Convert to fraction form
    201,029.80/301,544.70 = 197,919.40/x
  3. Step 3: Cross multiply
    201,029.80x = 301,544.70 × 197,919.40
  4. Step 4: Simplify right side
    201,029.80x = 59,681,546,097.18
  5. Step 5: Solve for x
    x = 59,681,546,097.18/201,029.80
  6. Step 6: Final answer
    x = 296,879.10

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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.