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Finding the Fourth Proportional to 301,995.24, 416,742.80 and 166,028.20

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Solution

The fourth proportional to 301,995.24, 416,742.80 and 166,028.20 is: 229,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,995.24 : 416,742.80 = 166,028.20 : x
  2. Step 2: Convert to fraction form
    301,995.24/416,742.80 = 166,028.20/x
  3. Step 3: Cross multiply
    301,995.24x = 416,742.80 × 166,028.20
  4. Step 4: Simplify right side
    301,995.24x = 69,191,056,946.96
  5. Step 5: Solve for x
    x = 69,191,056,946.96/301,995.24
  6. Step 6: Final answer
    x = 229,113.07

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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.