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Finding the Fourth Proportional to 188,758.96, 260,498.12 and 108,199.88

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Solution

The fourth proportional to 188,758.96, 260,498.12 and 108,199.88 is: 149,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,758.96 : 260,498.12 = 108,199.88 : x
  2. Step 2: Convert to fraction form
    188,758.96/260,498.12 = 108,199.88/x
  3. Step 3: Cross multiply
    188,758.96x = 260,498.12 × 108,199.88
  4. Step 4: Simplify right side
    188,758.96x = 28,185,865,324.23
  5. Step 5: Solve for x
    x = 28,185,865,324.23/188,758.96
  6. Step 6: Final answer
    x = 149,322.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.