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Finding the Fourth Proportional to 165,399.84, 228,256.56 and 101,774.88

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Solution

The fourth proportional to 165,399.84, 228,256.56 and 101,774.88 is: 140,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,399.84 : 228,256.56 = 101,774.88 : x
  2. Step 2: Convert to fraction form
    165,399.84/228,256.56 = 101,774.88/x
  3. Step 3: Cross multiply
    165,399.84x = 228,256.56 × 101,774.88
  4. Step 4: Simplify right side
    165,399.84x = 23,230,784,003.21
  5. Step 5: Solve for x
    x = 23,230,784,003.21/165,399.84
  6. Step 6: Final answer
    x = 140,452.28

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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.