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Finding the Fourth Proportional to 250,676.64, 345,977.98 and 148,758.30

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Solution

The fourth proportional to 250,676.64, 345,977.98 and 148,758.30 is: 205,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,676.64 : 345,977.98 = 148,758.30 : x
  2. Step 2: Convert to fraction form
    250,676.64/345,977.98 = 148,758.30/x
  3. Step 3: Cross multiply
    250,676.64x = 345,977.98 × 148,758.30
  4. Step 4: Simplify right side
    250,676.64x = 51,467,096,142.23
  5. Step 5: Solve for x
    x = 51,467,096,142.23/250,676.64
  6. Step 6: Final answer
    x = 205,312.69

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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.