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Finding the Fourth Proportional to 165,891, 228,929.58 and 106,275

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Solution

The fourth proportional to 165,891, 228,929.58 and 106,275 is: 146,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,891 : 228,929.58 = 106,275 : x
  2. Step 2: Convert to fraction form
    165,891/228,929.58 = 106,275/x
  3. Step 3: Cross multiply
    165,891x = 228,929.58 × 106,275
  4. Step 4: Simplify right side
    165,891x = 24,329,491,114.50
  5. Step 5: Solve for x
    x = 24,329,491,114.50/165,891
  6. Step 6: Final answer
    x = 146,659.50

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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.