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Finding the Fourth Proportional to 278,059.14, 383,706.69 and 157,193.22

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Solution

The fourth proportional to 278,059.14, 383,706.69 and 157,193.22 is: 216,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,059.14 : 383,706.69 = 157,193.22 : x
  2. Step 2: Convert to fraction form
    278,059.14/383,706.69 = 157,193.22/x
  3. Step 3: Cross multiply
    278,059.14x = 383,706.69 × 157,193.22
  4. Step 4: Simplify right side
    278,059.14x = 60,316,090,136.64
  5. Step 5: Solve for x
    x = 60,316,090,136.64/278,059.14
  6. Step 6: Final answer
    x = 216,918.21

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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.