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Finding the Fourth Proportional to 308,542.12, 463,241.50 and 158,889.40

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Solution

The fourth proportional to 308,542.12, 463,241.50 and 158,889.40 is: 238,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,542.12 : 463,241.50 = 158,889.40 : x
  2. Step 2: Convert to fraction form
    308,542.12/463,241.50 = 158,889.40/x
  3. Step 3: Cross multiply
    308,542.12x = 463,241.50 × 158,889.40
  4. Step 4: Simplify right side
    308,542.12x = 73,604,163,990.10
  5. Step 5: Solve for x
    x = 73,604,163,990.10/308,542.12
  6. Step 6: Final answer
    x = 238,554.67

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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.