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Finding the Fourth Proportional to 356,175.50, 491,533.31 and 195,045.84

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Solution

The fourth proportional to 356,175.50, 491,533.31 and 195,045.84 is: 269,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,175.50 : 491,533.31 = 195,045.84 : x
  2. Step 2: Convert to fraction form
    356,175.50/491,533.31 = 195,045.84/x
  3. Step 3: Cross multiply
    356,175.50x = 491,533.31 × 195,045.84
  4. Step 4: Simplify right side
    356,175.50x = 95,871,527,824.55
  5. Step 5: Solve for x
    x = 95,871,527,824.55/356,175.50
  6. Step 6: Final answer
    x = 269,169.35

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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.