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Finding the Fourth Proportional to 286,266.38, 395,134.77 and 178,767.98

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Solution

The fourth proportional to 286,266.38, 395,134.77 and 178,767.98 is: 246,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,266.38 : 395,134.77 = 178,767.98 : x
  2. Step 2: Convert to fraction form
    286,266.38/395,134.77 = 178,767.98/x
  3. Step 3: Cross multiply
    286,266.38x = 395,134.77 × 178,767.98
  4. Step 4: Simplify right side
    286,266.38x = 70,637,444,660.66
  5. Step 5: Solve for x
    x = 70,637,444,660.66/286,266.38
  6. Step 6: Final answer
    x = 246,754.25

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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.