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Finding the Fourth Proportional to 191,772.98, 264,647.94 and 106,895.42

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Solution

The fourth proportional to 191,772.98, 264,647.94 and 106,895.42 is: 147,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,772.98 : 264,647.94 = 106,895.42 : x
  2. Step 2: Convert to fraction form
    191,772.98/264,647.94 = 106,895.42/x
  3. Step 3: Cross multiply
    191,772.98x = 264,647.94 × 106,895.42
  4. Step 4: Simplify right side
    191,772.98x = 28,289,652,698.43
  5. Step 5: Solve for x
    x = 28,289,652,698.43/191,772.98
  6. Step 6: Final answer
    x = 147,516.36

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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.