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Finding the Fourth Proportional to 77,196.64, 115,729.32 and 73,522.48

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Solution

The fourth proportional to 77,196.64, 115,729.32 and 73,522.48 is: 110,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196.64 : 115,729.32 = 73,522.48 : x
  2. Step 2: Convert to fraction form
    77,196.64/115,729.32 = 73,522.48/x
  3. Step 3: Cross multiply
    77,196.64x = 115,729.32 × 73,522.48
  4. Step 4: Simplify right side
    77,196.64x = 8,508,706,615.11
  5. Step 5: Solve for x
    x = 8,508,706,615.11/77,196.64
  6. Step 6: Final answer
    x = 110,221.20

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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.