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Finding the Fourth Proportional to 193,492.49, 290,125.98 and 75,025.44

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Solution

The fourth proportional to 193,492.49, 290,125.98 and 75,025.44 is: 112,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,492.49 : 290,125.98 = 75,025.44 : x
  2. Step 2: Convert to fraction form
    193,492.49/290,125.98 = 75,025.44/x
  3. Step 3: Cross multiply
    193,492.49x = 290,125.98 × 75,025.44
  4. Step 4: Simplify right side
    193,492.49x = 21,766,829,304.93
  5. Step 5: Solve for x
    x = 21,766,829,304.93/193,492.49
  6. Step 6: Final answer
    x = 112,494.44

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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.