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Finding the Fourth Proportional to 113,779.76, 170,745.81 and 47,219.94

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Solution

The fourth proportional to 113,779.76, 170,745.81 and 47,219.94 is: 70,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,779.76 : 170,745.81 = 47,219.94 : x
  2. Step 2: Convert to fraction form
    113,779.76/170,745.81 = 47,219.94/x
  3. Step 3: Cross multiply
    113,779.76x = 170,745.81 × 47,219.94
  4. Step 4: Simplify right side
    113,779.76x = 8,062,606,903.45
  5. Step 5: Solve for x
    x = 8,062,606,903.45/113,779.76
  6. Step 6: Final answer
    x = 70,861.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.