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Finding the Fourth Proportional to 165,573.44, 228,758.56 and 115,496

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Solution

The fourth proportional to 165,573.44, 228,758.56 and 115,496 is: 159,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,573.44 : 228,758.56 = 115,496 : x
  2. Step 2: Convert to fraction form
    165,573.44/228,758.56 = 115,496/x
  3. Step 3: Cross multiply
    165,573.44x = 228,758.56 × 115,496
  4. Step 4: Simplify right side
    165,573.44x = 26,420,698,645.76
  5. Step 5: Solve for x
    x = 26,420,698,645.76/165,573.44
  6. Step 6: Final answer
    x = 159,570.87

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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.