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Finding the Fourth Proportional to 113,590.89, 170,198.01 and 69,083.01

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Solution

The fourth proportional to 113,590.89, 170,198.01 and 69,083.01 is: 103,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,590.89 : 170,198.01 = 69,083.01 : x
  2. Step 2: Convert to fraction form
    113,590.89/170,198.01 = 69,083.01/x
  3. Step 3: Cross multiply
    113,590.89x = 170,198.01 × 69,083.01
  4. Step 4: Simplify right side
    113,590.89x = 11,757,790,826.81
  5. Step 5: Solve for x
    x = 11,757,790,826.81/113,590.89
  6. Step 6: Final answer
    x = 103,509.98

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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.