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Finding the Fourth Proportional to 165,926.52, 228,924.42 and 97,920.54

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Solution

The fourth proportional to 165,926.52, 228,924.42 and 97,920.54 is: 135,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,926.52 : 228,924.42 = 97,920.54 : x
  2. Step 2: Convert to fraction form
    165,926.52/228,924.42 = 97,920.54/x
  3. Step 3: Cross multiply
    165,926.52x = 228,924.42 × 97,920.54
  4. Step 4: Simplify right side
    165,926.52x = 22,416,402,825.59
  5. Step 5: Solve for x
    x = 22,416,402,825.59/165,926.52
  6. Step 6: Final answer
    x = 135,098.37

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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.