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Finding the Fourth Proportional to 243,460.99, 365,193.31 and 74,982.71

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Solution

The fourth proportional to 243,460.99, 365,193.31 and 74,982.71 is: 112,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,460.99 : 365,193.31 = 74,982.71 : x
  2. Step 2: Convert to fraction form
    243,460.99/365,193.31 = 74,982.71/x
  3. Step 3: Cross multiply
    243,460.99x = 365,193.31 × 74,982.71
  4. Step 4: Simplify right side
    243,460.99x = 27,383,184,923.79
  5. Step 5: Solve for x
    x = 27,383,184,923.79/243,460.99
  6. Step 6: Final answer
    x = 112,474.63

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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.