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Finding the Fourth Proportional to 165,253.96, 228,052.02 and 98,173

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Solution

The fourth proportional to 165,253.96, 228,052.02 and 98,173 is: 135,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,253.96 : 228,052.02 = 98,173 : x
  2. Step 2: Convert to fraction form
    165,253.96/228,052.02 = 98,173/x
  3. Step 3: Cross multiply
    165,253.96x = 228,052.02 × 98,173
  4. Step 4: Simplify right side
    165,253.96x = 22,388,550,959.46
  5. Step 5: Solve for x
    x = 22,388,550,959.46/165,253.96
  6. Step 6: Final answer
    x = 135,479.66

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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.