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Finding the Fourth Proportional to 191,522.91, 264,299.05 and 106,639.98

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Solution

The fourth proportional to 191,522.91, 264,299.05 and 106,639.98 is: 147,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,522.91 : 264,299.05 = 106,639.98 : x
  2. Step 2: Convert to fraction form
    191,522.91/264,299.05 = 106,639.98/x
  3. Step 3: Cross multiply
    191,522.91x = 264,299.05 × 106,639.98
  4. Step 4: Simplify right side
    191,522.91x = 28,184,844,548.20
  5. Step 5: Solve for x
    x = 28,184,844,548.20/191,522.91
  6. Step 6: Final answer
    x = 147,161.74

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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.