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Finding the Fourth Proportional to 193,868.40, 290,683.53 and 75,401.70

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Solution

The fourth proportional to 193,868.40, 290,683.53 and 75,401.70 is: 113,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,868.40 : 290,683.53 = 75,401.70 : x
  2. Step 2: Convert to fraction form
    193,868.40/290,683.53 = 75,401.70/x
  3. Step 3: Cross multiply
    193,868.40x = 290,683.53 × 75,401.70
  4. Step 4: Simplify right side
    193,868.40x = 21,918,032,324.00
  5. Step 5: Solve for x
    x = 21,918,032,324.00/193,868.40
  6. Step 6: Final answer
    x = 113,056.24

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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.