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Finding the Fourth Proportional to 265,499.82, 366,387.84 and 144,641.07

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Solution

The fourth proportional to 265,499.82, 366,387.84 and 144,641.07 is: 199,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,499.82 : 366,387.84 = 144,641.07 : x
  2. Step 2: Convert to fraction form
    265,499.82/366,387.84 = 144,641.07/x
  3. Step 3: Cross multiply
    265,499.82x = 366,387.84 × 144,641.07
  4. Step 4: Simplify right side
    265,499.82x = 52,994,729,212.59
  5. Step 5: Solve for x
    x = 52,994,729,212.59/265,499.82
  6. Step 6: Final answer
    x = 199,603.64

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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.