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Finding the Fourth Proportional to 226,956.52, 340,457.34 and 86,833

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Solution

The fourth proportional to 226,956.52, 340,457.34 and 86,833 is: 130,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,956.52 : 340,457.34 = 86,833 : x
  2. Step 2: Convert to fraction form
    226,956.52/340,457.34 = 86,833/x
  3. Step 3: Cross multiply
    226,956.52x = 340,457.34 × 86,833
  4. Step 4: Simplify right side
    226,956.52x = 29,562,932,204.22
  5. Step 5: Solve for x
    x = 29,562,932,204.22/226,956.52
  6. Step 6: Final answer
    x = 130,258.13

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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.