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Finding the Fourth Proportional to 205,838.40, 309,413.70 and 194,028.60

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Solution

The fourth proportional to 205,838.40, 309,413.70 and 194,028.60 is: 291,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,838.40 : 309,413.70 = 194,028.60 : x
  2. Step 2: Convert to fraction form
    205,838.40/309,413.70 = 194,028.60/x
  3. Step 3: Cross multiply
    205,838.40x = 309,413.70 × 194,028.60
  4. Step 4: Simplify right side
    205,838.40x = 60,035,107,031.82
  5. Step 5: Solve for x
    x = 60,035,107,031.82/205,838.40
  6. Step 6: Final answer
    x = 291,661.36

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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.