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Finding the Fourth Proportional to 265,221.83, 366,013.91 and 144,371

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Solution

The fourth proportional to 265,221.83, 366,013.91 and 144,371 is: 199,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,221.83 : 366,013.91 = 144,371 : x
  2. Step 2: Convert to fraction form
    265,221.83/366,013.91 = 144,371/x
  3. Step 3: Cross multiply
    265,221.83x = 366,013.91 × 144,371
  4. Step 4: Simplify right side
    265,221.83x = 52,841,794,200.61
  5. Step 5: Solve for x
    x = 52,841,794,200.61/265,221.83
  6. Step 6: Final answer
    x = 199,236.22

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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.