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Finding the Fourth Proportional to 201,841.54, 302,657.19 and 95,196.86

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Solution

The fourth proportional to 201,841.54, 302,657.19 and 95,196.86 is: 142,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,841.54 : 302,657.19 = 95,196.86 : x
  2. Step 2: Convert to fraction form
    201,841.54/302,657.19 = 95,196.86/x
  3. Step 3: Cross multiply
    201,841.54x = 302,657.19 × 95,196.86
  4. Step 4: Simplify right side
    201,841.54x = 28,812,014,144.42
  5. Step 5: Solve for x
    x = 28,812,014,144.42/201,841.54
  6. Step 6: Final answer
    x = 142,745.71

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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.