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Finding the Fourth Proportional to 240,902.52, 361,477.14 and 114,685.56

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Solution

The fourth proportional to 240,902.52, 361,477.14 and 114,685.56 is: 172,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,902.52 : 361,477.14 = 114,685.56 : x
  2. Step 2: Convert to fraction form
    240,902.52/361,477.14 = 114,685.56/x
  3. Step 3: Cross multiply
    240,902.52x = 361,477.14 × 114,685.56
  4. Step 4: Simplify right side
    240,902.52x = 41,456,208,228.10
  5. Step 5: Solve for x
    x = 41,456,208,228.10/240,902.52
  6. Step 6: Final answer
    x = 172,087.07

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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.