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Finding the Fourth Proportional to 363,643.50, 545,524.38 and 107,502.06

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Solution

The fourth proportional to 363,643.50, 545,524.38 and 107,502.06 is: 161,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,643.50 : 545,524.38 = 107,502.06 : x
  2. Step 2: Convert to fraction form
    363,643.50/545,524.38 = 107,502.06/x
  3. Step 3: Cross multiply
    363,643.50x = 545,524.38 × 107,502.06
  4. Step 4: Simplify right side
    363,643.50x = 58,644,994,630.22
  5. Step 5: Solve for x
    x = 58,644,994,630.22/363,643.50
  6. Step 6: Final answer
    x = 161,270.57

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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.