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Finding the Fourth Proportional to 295,764.34, 443,469.00 and 135,639.64

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Solution

The fourth proportional to 295,764.34, 443,469.00 and 135,639.64 is: 203,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,764.34 : 443,469.00 = 135,639.64 : x
  2. Step 2: Convert to fraction form
    295,764.34/443,469.00 = 135,639.64/x
  3. Step 3: Cross multiply
    295,764.34x = 443,469.00 × 135,639.64
  4. Step 4: Simplify right side
    295,764.34x = 60,151,974,945.40
  5. Step 5: Solve for x
    x = 60,151,974,945.40/295,764.34
  6. Step 6: Final answer
    x = 203,378.05

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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.