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Finding the Fourth Proportional to 226,889.66, 340,545 and 114,648.70

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Solution

The fourth proportional to 226,889.66, 340,545 and 114,648.70 is: 172,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,889.66 : 340,545 = 114,648.70 : x
  2. Step 2: Convert to fraction form
    226,889.66/340,545 = 114,648.70/x
  3. Step 3: Cross multiply
    226,889.66x = 340,545 × 114,648.70
  4. Step 4: Simplify right side
    226,889.66x = 39,043,041,541.50
  5. Step 5: Solve for x
    x = 39,043,041,541.50/226,889.66
  6. Step 6: Final answer
    x = 172,079.42

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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.