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Finding the Fourth Proportional to 155,438.40, 233,157.60 and 137,942.40

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Solution

The fourth proportional to 155,438.40, 233,157.60 and 137,942.40 is: 206,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,438.40 : 233,157.60 = 137,942.40 : x
  2. Step 2: Convert to fraction form
    155,438.40/233,157.60 = 137,942.40/x
  3. Step 3: Cross multiply
    155,438.40x = 233,157.60 × 137,942.40
  4. Step 4: Simplify right side
    155,438.40x = 32,162,318,922.24
  5. Step 5: Solve for x
    x = 32,162,318,922.24/155,438.40
  6. Step 6: Final answer
    x = 206,913.60

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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.