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Finding the Fourth Proportional to 265,508.75, 366,400.97 and 144,649.66

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Solution

The fourth proportional to 265,508.75, 366,400.97 and 144,649.66 is: 199,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,508.75 : 366,400.97 = 144,649.66 : x
  2. Step 2: Convert to fraction form
    265,508.75/366,400.97 = 144,649.66/x
  3. Step 3: Cross multiply
    265,508.75x = 366,400.97 × 144,649.66
  4. Step 4: Simplify right side
    265,508.75x = 52,999,776,138.01
  5. Step 5: Solve for x
    x = 52,999,776,138.01/265,508.75
  6. Step 6: Final answer
    x = 199,615.93

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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.