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Finding the Fourth Proportional to 199,413.40, 299,120.10 and 185,416.60

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Solution

The fourth proportional to 199,413.40, 299,120.10 and 185,416.60 is: 278,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413.40 : 299,120.10 = 185,416.60 : x
  2. Step 2: Convert to fraction form
    199,413.40/299,120.10 = 185,416.60/x
  3. Step 3: Cross multiply
    199,413.40x = 299,120.10 × 185,416.60
  4. Step 4: Simplify right side
    199,413.40x = 55,461,831,933.66
  5. Step 5: Solve for x
    x = 55,461,831,933.66/199,413.40
  6. Step 6: Final answer
    x = 278,124.90

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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.