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Finding the Fourth Proportional to 208,092.48, 311,952.48 and 74,941.44

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Solution

The fourth proportional to 208,092.48, 311,952.48 and 74,941.44 is: 112,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,092.48 : 311,952.48 = 74,941.44 : x
  2. Step 2: Convert to fraction form
    208,092.48/311,952.48 = 74,941.44/x
  3. Step 3: Cross multiply
    208,092.48x = 311,952.48 × 74,941.44
  4. Step 4: Simplify right side
    208,092.48x = 23,378,168,062.77
  5. Step 5: Solve for x
    x = 23,378,168,062.77/208,092.48
  6. Step 6: Final answer
    x = 112,345.09

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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.