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Finding the Fourth Proportional to 206,955.44, 310,650.32 and 183,413.60

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Solution

The fourth proportional to 206,955.44, 310,650.32 and 183,413.60 is: 275,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,955.44 : 310,650.32 = 183,413.60 : x
  2. Step 2: Convert to fraction form
    206,955.44/310,650.32 = 183,413.60/x
  3. Step 3: Cross multiply
    206,955.44x = 310,650.32 × 183,413.60
  4. Step 4: Simplify right side
    206,955.44x = 56,977,493,532.35
  5. Step 5: Solve for x
    x = 56,977,493,532.35/206,955.44
  6. Step 6: Final answer
    x = 275,312.86

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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.