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Finding the Fourth Proportional to 208,056.48, 311,898.48 and 74,905.44

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Solution

The fourth proportional to 208,056.48, 311,898.48 and 74,905.44 is: 112,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056.48 : 311,898.48 = 74,905.44 : x
  2. Step 2: Convert to fraction form
    208,056.48/311,898.48 = 74,905.44/x
  3. Step 3: Cross multiply
    208,056.48x = 311,898.48 × 74,905.44
  4. Step 4: Simplify right side
    208,056.48x = 23,362,892,879.73
  5. Step 5: Solve for x
    x = 23,362,892,879.73/208,056.48
  6. Step 6: Final answer
    x = 112,291.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.