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Finding the Fourth Proportional to 191,766.98, 264,639.66 and 106,889.42

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Solution

The fourth proportional to 191,766.98, 264,639.66 and 106,889.42 is: 147,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,766.98 : 264,639.66 = 106,889.42 : x
  2. Step 2: Convert to fraction form
    191,766.98/264,639.66 = 106,889.42/x
  3. Step 3: Cross multiply
    191,766.98x = 264,639.66 × 106,889.42
  4. Step 4: Simplify right side
    191,766.98x = 28,287,179,766.40
  5. Step 5: Solve for x
    x = 28,287,179,766.40/191,766.98
  6. Step 6: Final answer
    x = 147,508.08

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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.