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Finding the Fourth Proportional to 165,325.06, 228,149.49 and 97,345

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Solution

The fourth proportional to 165,325.06, 228,149.49 and 97,345 is: 134,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,325.06 : 228,149.49 = 97,345 : x
  2. Step 2: Convert to fraction form
    165,325.06/228,149.49 = 97,345/x
  3. Step 3: Cross multiply
    165,325.06x = 228,149.49 × 97,345
  4. Step 4: Simplify right side
    165,325.06x = 22,209,212,104.05
  5. Step 5: Solve for x
    x = 22,209,212,104.05/165,325.06
  6. Step 6: Final answer
    x = 134,336.63

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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.