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Finding the Fourth Proportional to 150,294, 225,475.56 and 51,798

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Solution

The fourth proportional to 150,294, 225,475.56 and 51,798 is: 77,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,294 : 225,475.56 = 51,798 : x
  2. Step 2: Convert to fraction form
    150,294/225,475.56 = 51,798/x
  3. Step 3: Cross multiply
    150,294x = 225,475.56 × 51,798
  4. Step 4: Simplify right side
    150,294x = 11,679,183,056.88
  5. Step 5: Solve for x
    x = 11,679,183,056.88/150,294
  6. Step 6: Final answer
    x = 77,708.91

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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.