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Finding the Fourth Proportional to 260,840.84, 359,964.09 and 151,942.38

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Solution

The fourth proportional to 260,840.84, 359,964.09 and 151,942.38 is: 209,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,840.84 : 359,964.09 = 151,942.38 : x
  2. Step 2: Convert to fraction form
    260,840.84/359,964.09 = 151,942.38/x
  3. Step 3: Cross multiply
    260,840.84x = 359,964.09 × 151,942.38
  4. Step 4: Simplify right side
    260,840.84x = 54,693,800,549.13
  5. Step 5: Solve for x
    x = 54,693,800,549.13/260,840.84
  6. Step 6: Final answer
    x = 209,682.66

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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.