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Finding the Fourth Proportional to 265,415.13, 366,275.25 and 144,556.97

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Solution

The fourth proportional to 265,415.13, 366,275.25 and 144,556.97 is: 199,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,415.13 : 366,275.25 = 144,556.97 : x
  2. Step 2: Convert to fraction form
    265,415.13/366,275.25 = 144,556.97/x
  3. Step 3: Cross multiply
    265,415.13x = 366,275.25 × 144,556.97
  4. Step 4: Simplify right side
    265,415.13x = 52,947,638,494.62
  5. Step 5: Solve for x
    x = 52,947,638,494.62/265,415.13
  6. Step 6: Final answer
    x = 199,489.90

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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.