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Finding the Fourth Proportional to 146,067.84, 219,008.88 and 61,783.92

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Solution

The fourth proportional to 146,067.84, 219,008.88 and 61,783.92 is: 92,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,067.84 : 219,008.88 = 61,783.92 : x
  2. Step 2: Convert to fraction form
    146,067.84/219,008.88 = 61,783.92/x
  3. Step 3: Cross multiply
    146,067.84x = 219,008.88 × 61,783.92
  4. Step 4: Simplify right side
    146,067.84x = 13,531,227,121.21
  5. Step 5: Solve for x
    x = 13,531,227,121.21/146,067.84
  6. Step 6: Final answer
    x = 92,636.59

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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.