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Finding the Fourth Proportional to 356,909.88, 492,536.34 and 195,766.25

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Solution

The fourth proportional to 356,909.88, 492,536.34 and 195,766.25 is: 270,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,909.88 : 492,536.34 = 195,766.25 : x
  2. Step 2: Convert to fraction form
    356,909.88/492,536.34 = 195,766.25/x
  3. Step 3: Cross multiply
    356,909.88x = 492,536.34 × 195,766.25
  4. Step 4: Simplify right side
    356,909.88x = 96,421,992,270.53
  5. Step 5: Solve for x
    x = 96,421,992,270.53/356,909.88
  6. Step 6: Final answer
    x = 270,157.81

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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.