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Finding the Fourth Proportional to 201,397.38, 302,076.54 and 61,157.22

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Solution

The fourth proportional to 201,397.38, 302,076.54 and 61,157.22 is: 91,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397.38 : 302,076.54 = 61,157.22 : x
  2. Step 2: Convert to fraction form
    201,397.38/302,076.54 = 61,157.22/x
  3. Step 3: Cross multiply
    201,397.38x = 302,076.54 × 61,157.22
  4. Step 4: Simplify right side
    201,397.38x = 18,474,161,413.62
  5. Step 5: Solve for x
    x = 18,474,161,413.62/201,397.38
  6. Step 6: Final answer
    x = 91,729.90

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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.