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Finding the Fourth Proportional to 233,418.18, 321,729.85 and 165,347.81

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Solution

The fourth proportional to 233,418.18, 321,729.85 and 165,347.81 is: 227,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,418.18 : 321,729.85 = 165,347.81 : x
  2. Step 2: Convert to fraction form
    233,418.18/321,729.85 = 165,347.81/x
  3. Step 3: Cross multiply
    233,418.18x = 321,729.85 × 165,347.81
  4. Step 4: Simplify right side
    233,418.18x = 53,197,326,109.13
  5. Step 5: Solve for x
    x = 53,197,326,109.13/233,418.18
  6. Step 6: Final answer
    x = 227,905.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.