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Finding the Fourth Proportional to 103,235.82, 154,749.14 and 69,959.24

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Solution

The fourth proportional to 103,235.82, 154,749.14 and 69,959.24 is: 104,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,235.82 : 154,749.14 = 69,959.24 : x
  2. Step 2: Convert to fraction form
    103,235.82/154,749.14 = 69,959.24/x
  3. Step 3: Cross multiply
    103,235.82x = 154,749.14 × 69,959.24
  4. Step 4: Simplify right side
    103,235.82x = 10,826,132,225.05
  5. Step 5: Solve for x
    x = 10,826,132,225.05/103,235.82
  6. Step 6: Final answer
    x = 104,867.98

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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.