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Finding the Fourth Proportional to 185,411.58, 255,795.62 and 120,956.59

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Solution

The fourth proportional to 185,411.58, 255,795.62 and 120,956.59 is: 166,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,411.58 : 255,795.62 = 120,956.59 : x
  2. Step 2: Convert to fraction form
    185,411.58/255,795.62 = 120,956.59/x
  3. Step 3: Cross multiply
    185,411.58x = 255,795.62 × 120,956.59
  4. Step 4: Simplify right side
    185,411.58x = 30,940,166,327.48
  5. Step 5: Solve for x
    x = 30,940,166,327.48/185,411.58
  6. Step 6: Final answer
    x = 166,872.89

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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.