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Finding the Fourth Proportional to 265,896.14, 366,937.80 and 145,040.03

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Solution

The fourth proportional to 265,896.14, 366,937.80 and 145,040.03 is: 200,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,896.14 : 366,937.80 = 145,040.03 : x
  2. Step 2: Convert to fraction form
    265,896.14/366,937.80 = 145,040.03/x
  3. Step 3: Cross multiply
    265,896.14x = 366,937.80 × 145,040.03
  4. Step 4: Simplify right side
    265,896.14x = 53,220,667,685.45
  5. Step 5: Solve for x
    x = 53,220,667,685.45/265,896.14
  6. Step 6: Final answer
    x = 200,155.85

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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.