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Finding the Fourth Proportional to 138,861.30, 191,627.64 and 75,197.64

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Solution

The fourth proportional to 138,861.30, 191,627.64 and 75,197.64 is: 103,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,861.30 : 191,627.64 = 75,197.64 : x
  2. Step 2: Convert to fraction form
    138,861.30/191,627.64 = 75,197.64/x
  3. Step 3: Cross multiply
    138,861.30x = 191,627.64 × 75,197.64
  4. Step 4: Simplify right side
    138,861.30x = 14,409,946,286.77
  5. Step 5: Solve for x
    x = 14,409,946,286.77/138,861.30
  6. Step 6: Final answer
    x = 103,772.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.