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Finding the Fourth Proportional to 226,991.82, 340,746.09 and 114,798.72

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Solution

The fourth proportional to 226,991.82, 340,746.09 and 114,798.72 is: 172,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,991.82 : 340,746.09 = 114,798.72 : x
  2. Step 2: Convert to fraction form
    226,991.82/340,746.09 = 114,798.72/x
  3. Step 3: Cross multiply
    226,991.82x = 340,746.09 × 114,798.72
  4. Step 4: Simplify right side
    226,991.82x = 39,117,214,977.00
  5. Step 5: Solve for x
    x = 39,117,214,977.00/226,991.82
  6. Step 6: Final answer
    x = 172,328.74

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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.