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Finding the Fourth Proportional to 191,594.70, 264,408.84 and 106,711.76

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Solution

The fourth proportional to 191,594.70, 264,408.84 and 106,711.76 is: 147,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,594.70 : 264,408.84 = 106,711.76 : x
  2. Step 2: Convert to fraction form
    191,594.70/264,408.84 = 106,711.76/x
  3. Step 3: Cross multiply
    191,594.70x = 264,408.84 × 106,711.76
  4. Step 4: Simplify right side
    191,594.70x = 28,215,533,336.98
  5. Step 5: Solve for x
    x = 28,215,533,336.98/191,594.70
  6. Step 6: Final answer
    x = 147,266.77

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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.