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Finding the Fourth Proportional to 165,349.49, 228,223.64 and 101,650.38

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Solution

The fourth proportional to 165,349.49, 228,223.64 and 101,650.38 is: 140,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,349.49 : 228,223.64 = 101,650.38 : x
  2. Step 2: Convert to fraction form
    165,349.49/228,223.64 = 101,650.38/x
  3. Step 3: Cross multiply
    165,349.49x = 228,223.64 × 101,650.38
  4. Step 4: Simplify right side
    165,349.49x = 23,199,019,222.73
  5. Step 5: Solve for x
    x = 23,199,019,222.73/165,349.49
  6. Step 6: Final answer
    x = 140,302.94

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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.