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Finding the Fourth Proportional to 131,496, 197,202.24 and 42,728.96

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Solution

The fourth proportional to 131,496, 197,202.24 and 42,728.96 is: 64,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,496 : 197,202.24 = 42,728.96 : x
  2. Step 2: Convert to fraction form
    131,496/197,202.24 = 42,728.96/x
  3. Step 3: Cross multiply
    131,496x = 197,202.24 × 42,728.96
  4. Step 4: Simplify right side
    131,496x = 8,426,246,624.87
  5. Step 5: Solve for x
    x = 8,426,246,624.87/131,496
  6. Step 6: Final answer
    x = 64,079.87

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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.