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Finding the Fourth Proportional to 322,109.42, 444,525.80 and 178,870.03

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Solution

The fourth proportional to 322,109.42, 444,525.80 and 178,870.03 is: 246,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,109.42 : 444,525.80 = 178,870.03 : x
  2. Step 2: Convert to fraction form
    322,109.42/444,525.80 = 178,870.03/x
  3. Step 3: Cross multiply
    322,109.42x = 444,525.80 × 178,870.03
  4. Step 4: Simplify right side
    322,109.42x = 79,512,343,181.77
  5. Step 5: Solve for x
    x = 79,512,343,181.77/322,109.42
  6. Step 6: Final answer
    x = 246,848.86

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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.