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Finding the Fourth Proportional to 152,141.38, 228,266.14 and 67,893.88

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Solution

The fourth proportional to 152,141.38, 228,266.14 and 67,893.88 is: 101,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,141.38 : 228,266.14 = 67,893.88 : x
  2. Step 2: Convert to fraction form
    152,141.38/228,266.14 = 67,893.88/x
  3. Step 3: Cross multiply
    152,141.38x = 228,266.14 × 67,893.88
  4. Step 4: Simplify right side
    152,141.38x = 15,497,873,917.22
  5. Step 5: Solve for x
    x = 15,497,873,917.22/152,141.38
  6. Step 6: Final answer
    x = 101,864.95

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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.