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Finding the Fourth Proportional to 226,714.80, 340,072.20 and 102,298.80

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Solution

The fourth proportional to 226,714.80, 340,072.20 and 102,298.80 is: 153,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,714.80 : 340,072.20 = 102,298.80 : x
  2. Step 2: Convert to fraction form
    226,714.80/340,072.20 = 102,298.80/x
  3. Step 3: Cross multiply
    226,714.80x = 340,072.20 × 102,298.80
  4. Step 4: Simplify right side
    226,714.80x = 34,788,977,973.36
  5. Step 5: Solve for x
    x = 34,788,977,973.36/226,714.80
  6. Step 6: Final answer
    x = 153,448.20

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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.