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Finding the Fourth Proportional to 331,053, 456,853.14 and 180,150

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Solution

The fourth proportional to 331,053, 456,853.14 and 180,150 is: 248,607

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,053 : 456,853.14 = 180,150 : x
  2. Step 2: Convert to fraction form
    331,053/456,853.14 = 180,150/x
  3. Step 3: Cross multiply
    331,053x = 456,853.14 × 180,150
  4. Step 4: Simplify right side
    331,053x = 82,302,093,171
  5. Step 5: Solve for x
    x = 82,302,093,171/331,053
  6. Step 6: Final answer
    x = 248,607

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Why These Related Problems?

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