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Finding the Fourth Proportional to 136,624.64, 188,541.64 and 76,195.36

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Solution

The fourth proportional to 136,624.64, 188,541.64 and 76,195.36 is: 105,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,624.64 : 188,541.64 = 76,195.36 : x
  2. Step 2: Convert to fraction form
    136,624.64/188,541.64 = 76,195.36/x
  3. Step 3: Cross multiply
    136,624.64x = 188,541.64 × 76,195.36
  4. Step 4: Simplify right side
    136,624.64x = 14,365,998,134.79
  5. Step 5: Solve for x
    x = 14,365,998,134.79/136,624.64
  6. Step 6: Final answer
    x = 105,149.39

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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.