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Finding the Fourth Proportional to 265,584.68, 366,497.54 and 144,723.52

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Solution

The fourth proportional to 265,584.68, 366,497.54 and 144,723.52 is: 199,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,584.68 : 366,497.54 = 144,723.52 : x
  2. Step 2: Convert to fraction form
    265,584.68/366,497.54 = 144,723.52/x
  3. Step 3: Cross multiply
    265,584.68x = 366,497.54 × 144,723.52
  4. Step 4: Simplify right side
    265,584.68x = 53,040,814,060.14
  5. Step 5: Solve for x
    x = 53,040,814,060.14/265,584.68
  6. Step 6: Final answer
    x = 199,713.38

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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.