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Finding the Fourth Proportional to 165,215.76, 227,978.28 and 97,217.76

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Solution

The fourth proportional to 165,215.76, 227,978.28 and 97,217.76 is: 134,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,215.76 : 227,978.28 = 97,217.76 : x
  2. Step 2: Convert to fraction form
    165,215.76/227,978.28 = 97,217.76/x
  3. Step 3: Cross multiply
    165,215.76x = 227,978.28 × 97,217.76
  4. Step 4: Simplify right side
    165,215.76x = 22,163,537,710.25
  5. Step 5: Solve for x
    x = 22,163,537,710.25/165,215.76
  6. Step 6: Final answer
    x = 134,149.05

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1.5x scale

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.