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Finding the Fourth Proportional to 201,878.21, 302,861.64 and 59,712.38

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Solution

The fourth proportional to 201,878.21, 302,861.64 and 59,712.38 is: 89,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878.21 : 302,861.64 = 59,712.38 : x
  2. Step 2: Convert to fraction form
    201,878.21/302,861.64 = 59,712.38/x
  3. Step 3: Cross multiply
    201,878.21x = 302,861.64 × 59,712.38
  4. Step 4: Simplify right side
    201,878.21x = 18,084,587,820.80
  5. Step 5: Solve for x
    x = 18,084,587,820.80/201,878.21
  6. Step 6: Final answer
    x = 89,581.68

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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.