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Finding the Fourth Proportional to 226,841.71, 340,472.84 and 114,600.94

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Solution

The fourth proportional to 226,841.71, 340,472.84 and 114,600.94 is: 172,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,841.71 : 340,472.84 = 114,600.94 : x
  2. Step 2: Convert to fraction form
    226,841.71/340,472.84 = 114,600.94/x
  3. Step 3: Cross multiply
    226,841.71x = 340,472.84 × 114,600.94
  4. Step 4: Simplify right side
    226,841.71x = 39,018,506,452.74
  5. Step 5: Solve for x
    x = 39,018,506,452.74/226,841.71
  6. Step 6: Final answer
    x = 172,007.64

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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.