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Finding the Fourth Proportional to 197,704.02, 297,905.10 and 163,411.86

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Solution

The fourth proportional to 197,704.02, 297,905.10 and 163,411.86 is: 246,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,704.02 : 297,905.10 = 163,411.86 : x
  2. Step 2: Convert to fraction form
    197,704.02/297,905.10 = 163,411.86/x
  3. Step 3: Cross multiply
    197,704.02x = 297,905.10 × 163,411.86
  4. Step 4: Simplify right side
    197,704.02x = 48,681,226,494.49
  5. Step 5: Solve for x
    x = 48,681,226,494.49/197,704.02
  6. Step 6: Final answer
    x = 246,232.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.