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Finding the Fourth Proportional to 331,093.46, 456,911.01 and 180,192.02

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Solution

The fourth proportional to 331,093.46, 456,911.01 and 180,192.02 is: 248,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,093.46 : 456,911.01 = 180,192.02 : x
  2. Step 2: Convert to fraction form
    331,093.46/456,911.01 = 180,192.02/x
  3. Step 3: Cross multiply
    331,093.46x = 456,911.01 × 180,192.02
  4. Step 4: Simplify right side
    331,093.46x = 82,331,717,852.14
  5. Step 5: Solve for x
    x = 82,331,717,852.14/331,093.46
  6. Step 6: Final answer
    x = 248,666.10

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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.