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Finding the Fourth Proportional to 193,436.64, 290,098.80 and 81,113.94

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Solution

The fourth proportional to 193,436.64, 290,098.80 and 81,113.94 is: 121,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,436.64 : 290,098.80 = 81,113.94 : x
  2. Step 2: Convert to fraction form
    193,436.64/290,098.80 = 81,113.94/x
  3. Step 3: Cross multiply
    193,436.64x = 290,098.80 × 81,113.94
  4. Step 4: Simplify right side
    193,436.64x = 23,531,056,657.27
  5. Step 5: Solve for x
    x = 23,531,056,657.27/193,436.64
  6. Step 6: Final answer
    x = 121,647.36

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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.