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Finding the Fourth Proportional to 281,924.01, 389,051.51 and 161,064.32

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Solution

The fourth proportional to 281,924.01, 389,051.51 and 161,064.32 is: 222,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,924.01 : 389,051.51 = 161,064.32 : x
  2. Step 2: Convert to fraction form
    281,924.01/389,051.51 = 161,064.32/x
  3. Step 3: Cross multiply
    281,924.01x = 389,051.51 × 161,064.32
  4. Step 4: Simplify right side
    281,924.01x = 62,662,314,152.54
  5. Step 5: Solve for x
    x = 62,662,314,152.54/281,924.01
  6. Step 6: Final answer
    x = 222,266.68

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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.