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Finding the Fourth Proportional to 201,269.60, 301,940.85 and 101,177.90

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Solution

The fourth proportional to 201,269.60, 301,940.85 and 101,177.90 is: 151,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,269.60 : 301,940.85 = 101,177.90 : x
  2. Step 2: Convert to fraction form
    201,269.60/301,940.85 = 101,177.90/x
  3. Step 3: Cross multiply
    201,269.60x = 301,940.85 × 101,177.90
  4. Step 4: Simplify right side
    201,269.60x = 30,549,741,127.22
  5. Step 5: Solve for x
    x = 30,549,741,127.22/201,269.60
  6. Step 6: Final answer
    x = 151,785.17

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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.