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Finding the Fourth Proportional to 304,801.98, 457,233.03 and 105,096.12

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Solution

The fourth proportional to 304,801.98, 457,233.03 and 105,096.12 is: 157,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,801.98 : 457,233.03 = 105,096.12 : x
  2. Step 2: Convert to fraction form
    304,801.98/457,233.03 = 105,096.12/x
  3. Step 3: Cross multiply
    304,801.98x = 457,233.03 × 105,096.12
  4. Step 4: Simplify right side
    304,801.98x = 48,053,417,388.84
  5. Step 5: Solve for x
    x = 48,053,417,388.84/304,801.98
  6. Step 6: Final answer
    x = 157,654.54

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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.