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Finding the Fourth Proportional to 272,942.64, 409,413.96 and 106,614

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Solution

The fourth proportional to 272,942.64, 409,413.96 and 106,614 is: 159,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,942.64 : 409,413.96 = 106,614 : x
  2. Step 2: Convert to fraction form
    272,942.64/409,413.96 = 106,614/x
  3. Step 3: Cross multiply
    272,942.64x = 409,413.96 × 106,614
  4. Step 4: Simplify right side
    272,942.64x = 43,649,259,931.44
  5. Step 5: Solve for x
    x = 43,649,259,931.44/272,942.64
  6. Step 6: Final answer
    x = 159,921

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.