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Finding the Fourth Proportional to 262,233.50, 361,914.23 and 147,516.95

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Solution

The fourth proportional to 262,233.50, 361,914.23 and 147,516.95 is: 203,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,233.50 : 361,914.23 = 147,516.95 : x
  2. Step 2: Convert to fraction form
    262,233.50/361,914.23 = 147,516.95/x
  3. Step 3: Cross multiply
    262,233.50x = 361,914.23 × 147,516.95
  4. Step 4: Simplify right side
    262,233.50x = 53,388,484,644.78
  5. Step 5: Solve for x
    x = 53,388,484,644.78/262,233.50
  6. Step 6: Final answer
    x = 203,591.40

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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.