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Finding the Fourth Proportional to 457,665.02, 686,466.74 and 158,149.70

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Solution

The fourth proportional to 457,665.02, 686,466.74 and 158,149.70 is: 237,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,665.02 : 686,466.74 = 158,149.70 : x
  2. Step 2: Convert to fraction form
    457,665.02/686,466.74 = 158,149.70/x
  3. Step 3: Cross multiply
    457,665.02x = 686,466.74 × 158,149.70
  4. Step 4: Simplify right side
    457,665.02x = 108,564,504,767.90
  5. Step 5: Solve for x
    x = 108,564,504,767.90/457,665.02
  6. Step 6: Final answer
    x = 237,213.90

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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.