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Finding the Fourth Proportional to 229,122.42, 343,510.83 and 150,256.50

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Solution

The fourth proportional to 229,122.42, 343,510.83 and 150,256.50 is: 225,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,122.42 : 343,510.83 = 150,256.50 : x
  2. Step 2: Convert to fraction form
    229,122.42/343,510.83 = 150,256.50/x
  3. Step 3: Cross multiply
    229,122.42x = 343,510.83 × 150,256.50
  4. Step 4: Simplify right side
    229,122.42x = 51,614,735,027.90
  5. Step 5: Solve for x
    x = 51,614,735,027.90/229,122.42
  6. Step 6: Final answer
    x = 225,271.43

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