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Finding the Fourth Proportional to 237,714.84, 356,134.86 and 148,951.80

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Solution

The fourth proportional to 237,714.84, 356,134.86 and 148,951.80 is: 223,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,714.84 : 356,134.86 = 148,951.80 : x
  2. Step 2: Convert to fraction form
    237,714.84/356,134.86 = 148,951.80/x
  3. Step 3: Cross multiply
    237,714.84x = 356,134.86 × 148,951.80
  4. Step 4: Simplify right side
    237,714.84x = 53,046,928,439.75
  5. Step 5: Solve for x
    x = 53,046,928,439.75/237,714.84
  6. Step 6: Final answer
    x = 223,153.63

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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.