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Finding the Fourth Proportional to 170,764.56, 256,146.30 and 46,105.56

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Solution

The fourth proportional to 170,764.56, 256,146.30 and 46,105.56 is: 69,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,764.56 : 256,146.30 = 46,105.56 : x
  2. Step 2: Convert to fraction form
    170,764.56/256,146.30 = 46,105.56/x
  3. Step 3: Cross multiply
    170,764.56x = 256,146.30 × 46,105.56
  4. Step 4: Simplify right side
    170,764.56x = 11,809,768,603.43
  5. Step 5: Solve for x
    x = 11,809,768,603.43/170,764.56
  6. Step 6: Final answer
    x = 69,158.19

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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.