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Finding the Fourth Proportional to 165,215.28, 227,977.62 and 97,217.28

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Solution

The fourth proportional to 165,215.28, 227,977.62 and 97,217.28 is: 134,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,215.28 : 227,977.62 = 97,217.28 : x
  2. Step 2: Convert to fraction form
    165,215.28/227,977.62 = 97,217.28/x
  3. Step 3: Cross multiply
    165,215.28x = 227,977.62 × 97,217.28
  4. Step 4: Simplify right side
    165,215.28x = 22,163,364,117.27
  5. Step 5: Solve for x
    x = 22,163,364,117.27/165,215.28
  6. Step 6: Final answer
    x = 134,148.39

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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.