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Finding the Fourth Proportional to 252,179.76, 378,282.60 and 65,192.88

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Solution

The fourth proportional to 252,179.76, 378,282.60 and 65,192.88 is: 97,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,179.76 : 378,282.60 = 65,192.88 : x
  2. Step 2: Convert to fraction form
    252,179.76/378,282.60 = 65,192.88/x
  3. Step 3: Cross multiply
    252,179.76x = 378,282.60 × 65,192.88
  4. Step 4: Simplify right side
    252,179.76x = 24,661,332,147.89
  5. Step 5: Solve for x
    x = 24,661,332,147.89/252,179.76
  6. Step 6: Final answer
    x = 97,792.67

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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.