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Finding the Fourth Proportional to 254,223.94, 350,993.38 and 157,530.40

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Solution

The fourth proportional to 254,223.94, 350,993.38 and 157,530.40 is: 217,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,223.94 : 350,993.38 = 157,530.40 : x
  2. Step 2: Convert to fraction form
    254,223.94/350,993.38 = 157,530.40/x
  3. Step 3: Cross multiply
    254,223.94x = 350,993.38 × 157,530.40
  4. Step 4: Simplify right side
    254,223.94x = 55,292,125,793.79
  5. Step 5: Solve for x
    x = 55,292,125,793.79/254,223.94
  6. Step 6: Final answer
    x = 217,493.78

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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.