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Finding the Fourth Proportional to 265,357.24, 366,193.01 and 144,498.49

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Solution

The fourth proportional to 265,357.24, 366,193.01 and 144,498.49 is: 199,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,357.24 : 366,193.01 = 144,498.49 : x
  2. Step 2: Convert to fraction form
    265,357.24/366,193.01 = 144,498.49/x
  3. Step 3: Cross multiply
    265,357.24x = 366,193.01 × 144,498.49
  4. Step 4: Simplify right side
    265,357.24x = 52,914,336,993.55
  5. Step 5: Solve for x
    x = 52,914,336,993.55/265,357.24
  6. Step 6: Final answer
    x = 199,407.93

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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.