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Finding the Fourth Proportional to 185,393.62, 277,846.98 and 105,468.22

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Solution

The fourth proportional to 185,393.62, 277,846.98 and 105,468.22 is: 158,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,393.62 : 277,846.98 = 105,468.22 : x
  2. Step 2: Convert to fraction form
    185,393.62/277,846.98 = 105,468.22/x
  3. Step 3: Cross multiply
    185,393.62x = 277,846.98 × 105,468.22
  4. Step 4: Simplify right side
    185,393.62x = 29,304,026,412.98
  5. Step 5: Solve for x
    x = 29,304,026,412.98/185,393.62
  6. Step 6: Final answer
    x = 158,063.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.