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Finding the Fourth Proportional to 301,995.40, 416,743.02 and 166,028.35

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Solution

The fourth proportional to 301,995.40, 416,743.02 and 166,028.35 is: 229,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,995.40 : 416,743.02 = 166,028.35 : x
  2. Step 2: Convert to fraction form
    301,995.40/416,743.02 = 166,028.35/x
  3. Step 3: Cross multiply
    301,995.40x = 416,743.02 × 166,028.35
  4. Step 4: Simplify right side
    301,995.40x = 69,191,155,984.62
  5. Step 5: Solve for x
    x = 69,191,155,984.62/301,995.40
  6. Step 6: Final answer
    x = 229,113.28

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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.