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Finding the Fourth Proportional to 226,865.16, 340,313.40 and 77,044.32

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Solution

The fourth proportional to 226,865.16, 340,313.40 and 77,044.32 is: 115,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,865.16 : 340,313.40 = 77,044.32 : x
  2. Step 2: Convert to fraction form
    226,865.16/340,313.40 = 77,044.32/x
  3. Step 3: Cross multiply
    226,865.16x = 340,313.40 × 77,044.32
  4. Step 4: Simplify right side
    226,865.16x = 26,219,214,489.89
  5. Step 5: Solve for x
    x = 26,219,214,489.89/226,865.16
  6. Step 6: Final answer
    x = 115,571.80

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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.