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Finding the Fourth Proportional to 260,601.76, 359,631.12 and 141,369.76

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Solution

The fourth proportional to 260,601.76, 359,631.12 and 141,369.76 is: 195,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,601.76 : 359,631.12 = 141,369.76 : x
  2. Step 2: Convert to fraction form
    260,601.76/359,631.12 = 141,369.76/x
  3. Step 3: Cross multiply
    260,601.76x = 359,631.12 × 141,369.76
  4. Step 4: Simplify right side
    260,601.76x = 50,840,965,122.93
  5. Step 5: Solve for x
    x = 50,840,965,122.93/260,601.76
  6. Step 6: Final answer
    x = 195,090.64

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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.