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Finding the Fourth Proportional to 131,816.56, 197,758.56 and 38,322.32

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Solution

The fourth proportional to 131,816.56, 197,758.56 and 38,322.32 is: 57,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,816.56 : 197,758.56 = 38,322.32 : x
  2. Step 2: Convert to fraction form
    131,816.56/197,758.56 = 38,322.32/x
  3. Step 3: Cross multiply
    131,816.56x = 197,758.56 × 38,322.32
  4. Step 4: Simplify right side
    131,816.56x = 7,578,566,819.06
  5. Step 5: Solve for x
    x = 7,578,566,819.06/131,816.56
  6. Step 6: Final answer
    x = 57,493.28

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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.