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Finding the Fourth Proportional to 131,644.32, 197,284.32 and 114,070.56

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Solution

The fourth proportional to 131,644.32, 197,284.32 and 114,070.56 is: 170,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,644.32 : 197,284.32 = 114,070.56 : x
  2. Step 2: Convert to fraction form
    131,644.32/197,284.32 = 114,070.56/x
  3. Step 3: Cross multiply
    131,644.32x = 197,284.32 × 114,070.56
  4. Step 4: Simplify right side
    131,644.32x = 22,504,332,861.62
  5. Step 5: Solve for x
    x = 22,504,332,861.62/131,644.32
  6. Step 6: Final answer
    x = 170,948.00

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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.