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Finding the Fourth Proportional to 656,798, 985,197.24 and 158,162

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Solution

The fourth proportional to 656,798, 985,197.24 and 158,162 is: 237,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,798 : 985,197.24 = 158,162 : x
  2. Step 2: Convert to fraction form
    656,798/985,197.24 = 158,162/x
  3. Step 3: Cross multiply
    656,798x = 985,197.24 × 158,162
  4. Step 4: Simplify right side
    656,798x = 155,820,765,872.88
  5. Step 5: Solve for x
    x = 155,820,765,872.88/656,798
  6. Step 6: Final answer
    x = 237,243.06

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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.