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Finding the Fourth Proportional to 197,714.40, 296,571.60 and 150,475.20

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Solution

The fourth proportional to 197,714.40, 296,571.60 and 150,475.20 is: 225,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,714.40 : 296,571.60 = 150,475.20 : x
  2. Step 2: Convert to fraction form
    197,714.40/296,571.60 = 150,475.20/x
  3. Step 3: Cross multiply
    197,714.40x = 296,571.60 × 150,475.20
  4. Step 4: Simplify right side
    197,714.40x = 44,626,670,824.32
  5. Step 5: Solve for x
    x = 44,626,670,824.32/197,714.40
  6. Step 6: Final answer
    x = 225,712.80

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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.