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Finding the Fourth Proportional to 286,178.81, 394,907.00 and 158,844.38

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Solution

The fourth proportional to 286,178.81, 394,907.00 and 158,844.38 is: 219,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,178.81 : 394,907.00 = 158,844.38 : x
  2. Step 2: Convert to fraction form
    286,178.81/394,907.00 = 158,844.38/x
  3. Step 3: Cross multiply
    286,178.81x = 394,907.00 × 158,844.38
  4. Step 4: Simplify right side
    286,178.81x = 62,728,754,803.90
  5. Step 5: Solve for x
    x = 62,728,754,803.90/286,178.81
  6. Step 6: Final answer
    x = 219,194.27

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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.