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Finding the Fourth Proportional to 214,573.32, 322,071.80 and 161,079.30

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Solution

The fourth proportional to 214,573.32, 322,071.80 and 161,079.30 is: 241,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,573.32 : 322,071.80 = 161,079.30 : x
  2. Step 2: Convert to fraction form
    214,573.32/322,071.80 = 161,079.30/x
  3. Step 3: Cross multiply
    214,573.32x = 322,071.80 × 161,079.30
  4. Step 4: Simplify right side
    214,573.32x = 51,879,099,288.34
  5. Step 5: Solve for x
    x = 51,879,099,288.34/214,573.32
  6. Step 6: Final answer
    x = 241,777.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.