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Finding the Fourth Proportional to 201,694.70, 302,542.05 and 174,046.70

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Solution

The fourth proportional to 201,694.70, 302,542.05 and 174,046.70 is: 261,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,694.70 : 302,542.05 = 174,046.70 : x
  2. Step 2: Convert to fraction form
    201,694.70/302,542.05 = 174,046.70/x
  3. Step 3: Cross multiply
    201,694.70x = 302,542.05 × 174,046.70
  4. Step 4: Simplify right side
    201,694.70x = 52,656,445,413.74
  5. Step 5: Solve for x
    x = 52,656,445,413.74/201,694.70
  6. Step 6: Final answer
    x = 261,070.05

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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.