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Finding the Fourth Proportional to 233,071.32, 321,466.36 and 172,644.48

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Solution

The fourth proportional to 233,071.32, 321,466.36 and 172,644.48 is: 238,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,071.32 : 321,466.36 = 172,644.48 : x
  2. Step 2: Convert to fraction form
    233,071.32/321,466.36 = 172,644.48/x
  3. Step 3: Cross multiply
    233,071.32x = 321,466.36 × 172,644.48
  4. Step 4: Simplify right side
    233,071.32x = 55,499,392,559.69
  5. Step 5: Solve for x
    x = 55,499,392,559.69/233,071.32
  6. Step 6: Final answer
    x = 238,121.93

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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.