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Finding the Fourth Proportional to 265,633.74, 366,563.86 and 144,772.42

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Solution

The fourth proportional to 265,633.74, 366,563.86 and 144,772.42 is: 199,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,633.74 : 366,563.86 = 144,772.42 : x
  2. Step 2: Convert to fraction form
    265,633.74/366,563.86 = 144,772.42/x
  3. Step 3: Cross multiply
    265,633.74x = 366,563.86 × 144,772.42
  4. Step 4: Simplify right side
    265,633.74x = 53,068,338,007.36
  5. Step 5: Solve for x
    x = 53,068,338,007.36/265,633.74
  6. Step 6: Final answer
    x = 199,780.11

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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.