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Finding the Fourth Proportional to 363,142.50, 544,801.23 and 113,824.50

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Solution

The fourth proportional to 363,142.50, 544,801.23 and 113,824.50 is: 170,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,142.50 : 544,801.23 = 113,824.50 : x
  2. Step 2: Convert to fraction form
    363,142.50/544,801.23 = 113,824.50/x
  3. Step 3: Cross multiply
    363,142.50x = 544,801.23 × 113,824.50
  4. Step 4: Simplify right side
    363,142.50x = 62,011,727,604.14
  5. Step 5: Solve for x
    x = 62,011,727,604.14/363,142.50
  6. Step 6: Final answer
    x = 170,764.17

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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.