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Finding the Fourth Proportional to 109,495.94, 164,192.81 and 56,891.30

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Solution

The fourth proportional to 109,495.94, 164,192.81 and 56,891.30 is: 85,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,495.94 : 164,192.81 = 56,891.30 : x
  2. Step 2: Convert to fraction form
    109,495.94/164,192.81 = 56,891.30/x
  3. Step 3: Cross multiply
    109,495.94x = 164,192.81 × 56,891.30
  4. Step 4: Simplify right side
    109,495.94x = 9,341,141,306.13
  5. Step 5: Solve for x
    x = 9,341,141,306.13/109,495.94
  6. Step 6: Final answer
    x = 85,310.39

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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.