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Finding the Fourth Proportional to 265,912.76, 366,952.92 and 145,056.80

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Solution

The fourth proportional to 265,912.76, 366,952.92 and 145,056.80 is: 200,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,912.76 : 366,952.92 = 145,056.80 : x
  2. Step 2: Convert to fraction form
    265,912.76/366,952.92 = 145,056.80/x
  3. Step 3: Cross multiply
    265,912.76x = 366,952.92 × 145,056.80
  4. Step 4: Simplify right side
    265,912.76x = 53,229,016,325.86
  5. Step 5: Solve for x
    x = 53,229,016,325.86/265,912.76
  6. Step 6: Final answer
    x = 200,174.74

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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.