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Finding the Fourth Proportional to 262,214.75, 393,714.70 and 150,021.47

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Solution

The fourth proportional to 262,214.75, 393,714.70 and 150,021.47 is: 225,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,214.75 : 393,714.70 = 150,021.47 : x
  2. Step 2: Convert to fraction form
    262,214.75/393,714.70 = 150,021.47/x
  3. Step 3: Cross multiply
    262,214.75x = 393,714.70 × 150,021.47
  4. Step 4: Simplify right side
    262,214.75x = 59,065,655,710.98
  5. Step 5: Solve for x
    x = 59,065,655,710.98/262,214.75
  6. Step 6: Final answer
    x = 225,256.81

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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.