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Finding the Fourth Proportional to 301,081.77, 415,511.51 and 166,945.77

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Solution

The fourth proportional to 301,081.77, 415,511.51 and 166,945.77 is: 230,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081.77 : 415,511.51 = 166,945.77 : x
  2. Step 2: Convert to fraction form
    301,081.77/415,511.51 = 166,945.77/x
  3. Step 3: Cross multiply
    301,081.77x = 415,511.51 × 166,945.77
  4. Step 4: Simplify right side
    301,081.77x = 69,367,888,146.08
  5. Step 5: Solve for x
    x = 69,367,888,146.08/301,081.77
  6. Step 6: Final answer
    x = 230,395.51

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1.5x scale

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.