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Finding the Fourth Proportional to 265,803.78, 366,801.03 and 144,947.33

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Solution

The fourth proportional to 265,803.78, 366,801.03 and 144,947.33 is: 200,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,803.78 : 366,801.03 = 144,947.33 : x
  2. Step 2: Convert to fraction form
    265,803.78/366,801.03 = 144,947.33/x
  3. Step 3: Cross multiply
    265,803.78x = 366,801.03 × 144,947.33
  4. Step 4: Simplify right side
    265,803.78x = 53,166,828,105.74
  5. Step 5: Solve for x
    x = 53,166,828,105.74/265,803.78
  6. Step 6: Final answer
    x = 200,022.84

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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.