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Finding the Fourth Proportional to 301,145.58, 415,573.75 and 165,178.33

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Solution

The fourth proportional to 301,145.58, 415,573.75 and 165,178.33 is: 227,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,145.58 : 415,573.75 = 165,178.33 : x
  2. Step 2: Convert to fraction form
    301,145.58/415,573.75 = 165,178.33/x
  3. Step 3: Cross multiply
    301,145.58x = 415,573.75 × 165,178.33
  4. Step 4: Simplify right side
    301,145.58x = 68,643,778,016.84
  5. Step 5: Solve for x
    x = 68,643,778,016.84/301,145.58
  6. Step 6: Final answer
    x = 227,942.17

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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.