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Finding the Fourth Proportional to 243,838.50, 365,425.65 and 137,273.28

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Solution

The fourth proportional to 243,838.50, 365,425.65 and 137,273.28 is: 205,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,838.50 : 365,425.65 = 137,273.28 : x
  2. Step 2: Convert to fraction form
    243,838.50/365,425.65 = 137,273.28/x
  3. Step 3: Cross multiply
    243,838.50x = 365,425.65 × 137,273.28
  4. Step 4: Simplify right side
    243,838.50x = 50,163,177,571.63
  5. Step 5: Solve for x
    x = 50,163,177,571.63/243,838.50
  6. Step 6: Final answer
    x = 205,722.96

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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.