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Finding the Fourth Proportional to 260,827.94, 359,956.06 and 146,099.84

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Solution

The fourth proportional to 260,827.94, 359,956.06 and 146,099.84 is: 201,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,827.94 : 359,956.06 = 146,099.84 : x
  2. Step 2: Convert to fraction form
    260,827.94/359,956.06 = 146,099.84/x
  3. Step 3: Cross multiply
    260,827.94x = 359,956.06 × 146,099.84
  4. Step 4: Simplify right side
    260,827.94x = 52,589,522,773.03
  5. Step 5: Solve for x
    x = 52,589,522,773.03/260,827.94
  6. Step 6: Final answer
    x = 201,625.34

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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.