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Finding the Fourth Proportional to 278,817.66, 384,771.87 and 151,495.38

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Solution

The fourth proportional to 278,817.66, 384,771.87 and 151,495.38 is: 209,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,817.66 : 384,771.87 = 151,495.38 : x
  2. Step 2: Convert to fraction form
    278,817.66/384,771.87 = 151,495.38/x
  3. Step 3: Cross multiply
    278,817.66x = 384,771.87 × 151,495.38
  4. Step 4: Simplify right side
    278,817.66x = 58,291,160,658.96
  5. Step 5: Solve for x
    x = 58,291,160,658.96/278,817.66
  6. Step 6: Final answer
    x = 209,065.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.