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Finding the Fourth Proportional to 253,919.88, 350,397.18 and 146,524.60

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Solution

The fourth proportional to 253,919.88, 350,397.18 and 146,524.60 is: 202,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,919.88 : 350,397.18 = 146,524.60 : x
  2. Step 2: Convert to fraction form
    253,919.88/350,397.18 = 146,524.60/x
  3. Step 3: Cross multiply
    253,919.88x = 350,397.18 × 146,524.60
  4. Step 4: Simplify right side
    253,919.88x = 51,341,806,640.63
  5. Step 5: Solve for x
    x = 51,341,806,640.63/253,919.88
  6. Step 6: Final answer
    x = 202,196.88

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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.