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Finding the Fourth Proportional to 258,902.13, 388,223.34 and 150,866.49

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Solution

The fourth proportional to 258,902.13, 388,223.34 and 150,866.49 is: 226,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,902.13 : 388,223.34 = 150,866.49 : x
  2. Step 2: Convert to fraction form
    258,902.13/388,223.34 = 150,866.49/x
  3. Step 3: Cross multiply
    258,902.13x = 388,223.34 × 150,866.49
  4. Step 4: Simplify right side
    258,902.13x = 58,569,892,641.88
  5. Step 5: Solve for x
    x = 58,569,892,641.88/258,902.13
  6. Step 6: Final answer
    x = 226,224.07

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1.5x scale

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.