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Finding the Fourth Proportional to 230,290.24, 317,932.39 and 153,938.67

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Solution

The fourth proportional to 230,290.24, 317,932.39 and 153,938.67 is: 212,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,290.24 : 317,932.39 = 153,938.67 : x
  2. Step 2: Convert to fraction form
    230,290.24/317,932.39 = 153,938.67/x
  3. Step 3: Cross multiply
    230,290.24x = 317,932.39 × 153,938.67
  4. Step 4: Simplify right side
    230,290.24x = 48,942,089,266.52
  5. Step 5: Solve for x
    x = 48,942,089,266.52/230,290.24
  6. Step 6: Final answer
    x = 212,523.51

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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.