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Finding the Fourth Proportional to 165,714.30, 228,732.39 and 149,384.70

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Solution

The fourth proportional to 165,714.30, 228,732.39 and 149,384.70 is: 206,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,714.30 : 228,732.39 = 149,384.70 : x
  2. Step 2: Convert to fraction form
    165,714.30/228,732.39 = 149,384.70/x
  3. Step 3: Cross multiply
    165,714.30x = 228,732.39 × 149,384.70
  4. Step 4: Simplify right side
    165,714.30x = 34,169,119,460.43
  5. Step 5: Solve for x
    x = 34,169,119,460.43/165,714.30
  6. Step 6: Final answer
    x = 206,192.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.