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Finding the Fourth Proportional to 377,136, 566,059.48 and 137,481.64

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Solution

The fourth proportional to 377,136, 566,059.48 and 137,481.64 is: 206,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,136 : 566,059.48 = 137,481.64 : x
  2. Step 2: Convert to fraction form
    377,136/566,059.48 = 137,481.64/x
  3. Step 3: Cross multiply
    377,136x = 566,059.48 × 137,481.64
  4. Step 4: Simplify right side
    377,136x = 77,822,783,889.09
  5. Step 5: Solve for x
    x = 77,822,783,889.09/377,136
  6. Step 6: Final answer
    x = 206,352.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.