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Finding the Fourth Proportional to 281,469.42, 388,428.39 and 152,409.30

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Solution

The fourth proportional to 281,469.42, 388,428.39 and 152,409.30 is: 210,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,469.42 : 388,428.39 = 152,409.30 : x
  2. Step 2: Convert to fraction form
    281,469.42/388,428.39 = 152,409.30/x
  3. Step 3: Cross multiply
    281,469.42x = 388,428.39 × 152,409.30
  4. Step 4: Simplify right side
    281,469.42x = 59,200,099,020.03
  5. Step 5: Solve for x
    x = 59,200,099,020.03/281,469.42
  6. Step 6: Final answer
    x = 210,325.15

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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.