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Finding the Fourth Proportional to 165,797.24, 228,877.02 and 97,791.32

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Solution

The fourth proportional to 165,797.24, 228,877.02 and 97,791.32 is: 134,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,797.24 : 228,877.02 = 97,791.32 : x
  2. Step 2: Convert to fraction form
    165,797.24/228,877.02 = 97,791.32/x
  3. Step 3: Cross multiply
    165,797.24x = 228,877.02 × 97,791.32
  4. Step 4: Simplify right side
    165,797.24x = 22,382,185,903.47
  5. Step 5: Solve for x
    x = 22,382,185,903.47/165,797.24
  6. Step 6: Final answer
    x = 134,997.34

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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.