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Finding the Fourth Proportional to 191,137.76, 263,779.50 and 106,253

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Solution

The fourth proportional to 191,137.76, 263,779.50 and 106,253 is: 146,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,137.76 : 263,779.50 = 106,253 : x
  2. Step 2: Convert to fraction form
    191,137.76/263,779.50 = 106,253/x
  3. Step 3: Cross multiply
    191,137.76x = 263,779.50 × 106,253
  4. Step 4: Simplify right side
    191,137.76x = 28,027,363,213.50
  5. Step 5: Solve for x
    x = 28,027,363,213.50/191,137.76
  6. Step 6: Final answer
    x = 146,634.36

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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.