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Finding the Fourth Proportional to 299,133.72, 412,789.02 and 185,954.52

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Solution

The fourth proportional to 299,133.72, 412,789.02 and 185,954.52 is: 256,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,133.72 : 412,789.02 = 185,954.52 : x
  2. Step 2: Convert to fraction form
    299,133.72/412,789.02 = 185,954.52/x
  3. Step 3: Cross multiply
    299,133.72x = 412,789.02 × 185,954.52
  4. Step 4: Simplify right side
    299,133.72x = 76,759,984,075.37
  5. Step 5: Solve for x
    x = 76,759,984,075.37/299,133.72
  6. Step 6: Final answer
    x = 256,607.59

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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.