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Finding the Fourth Proportional to 252,071.19, 347,748.95 and 150,039.45

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Solution

The fourth proportional to 252,071.19, 347,748.95 and 150,039.45 is: 206,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,071.19 : 347,748.95 = 150,039.45 : x
  2. Step 2: Convert to fraction form
    252,071.19/347,748.95 = 150,039.45/x
  3. Step 3: Cross multiply
    252,071.19x = 347,748.95 × 150,039.45
  4. Step 4: Simplify right side
    252,071.19x = 52,176,061,571.18
  5. Step 5: Solve for x
    x = 52,176,061,571.18/252,071.19
  6. Step 6: Final answer
    x = 206,989.39

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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.