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Finding the Fourth Proportional to 136,889.93, 188,906.10 and 76,461.42

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Solution

The fourth proportional to 136,889.93, 188,906.10 and 76,461.42 is: 105,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,889.93 : 188,906.10 = 76,461.42 : x
  2. Step 2: Convert to fraction form
    136,889.93/188,906.10 = 76,461.42/x
  3. Step 3: Cross multiply
    136,889.93x = 188,906.10 × 76,461.42
  4. Step 4: Simplify right side
    136,889.93x = 14,444,028,652.66
  5. Step 5: Solve for x
    x = 14,444,028,652.66/136,889.93
  6. Step 6: Final answer
    x = 105,515.64

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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.