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Finding the Fourth Proportional to 118,596.34, 177,964.68 and 43,768.58

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Solution

The fourth proportional to 118,596.34, 177,964.68 and 43,768.58 is: 65,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,596.34 : 177,964.68 = 43,768.58 : x
  2. Step 2: Convert to fraction form
    118,596.34/177,964.68 = 43,768.58/x
  3. Step 3: Cross multiply
    118,596.34x = 177,964.68 × 43,768.58
  4. Step 4: Simplify right side
    118,596.34x = 7,789,261,333.75
  5. Step 5: Solve for x
    x = 7,789,261,333.75/118,596.34
  6. Step 6: Final answer
    x = 65,678.77

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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.