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Finding the Fourth Proportional to 193,640.25, 290,509.66 and 113,745.78

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Solution

The fourth proportional to 193,640.25, 290,509.66 and 113,745.78 is: 170,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,640.25 : 290,509.66 = 113,745.78 : x
  2. Step 2: Convert to fraction form
    193,640.25/290,509.66 = 113,745.78/x
  3. Step 3: Cross multiply
    193,640.25x = 290,509.66 × 113,745.78
  4. Step 4: Simplify right side
    193,640.25x = 33,044,249,304.15
  5. Step 5: Solve for x
    x = 33,044,249,304.15/193,640.25
  6. Step 6: Final answer
    x = 170,647.62

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1.5x scale

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.