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Finding the Fourth Proportional to 165,903.89, 228,967.14 and 104,738.96

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Solution

The fourth proportional to 165,903.89, 228,967.14 and 104,738.96 is: 144,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,903.89 : 228,967.14 = 104,738.96 : x
  2. Step 2: Convert to fraction form
    165,903.89/228,967.14 = 104,738.96/x
  3. Step 3: Cross multiply
    165,903.89x = 228,967.14 × 104,738.96
  4. Step 4: Simplify right side
    165,903.89x = 23,981,780,117.77
  5. Step 5: Solve for x
    x = 23,981,780,117.77/165,903.89
  6. Step 6: Final answer
    x = 144,552.25

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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.