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Finding the Fourth Proportional to 123,153.92, 184,692 and 53,014.40

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Solution

The fourth proportional to 123,153.92, 184,692 and 53,014.40 is: 79,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,153.92 : 184,692 = 53,014.40 : x
  2. Step 2: Convert to fraction form
    123,153.92/184,692 = 53,014.40/x
  3. Step 3: Cross multiply
    123,153.92x = 184,692 × 53,014.40
  4. Step 4: Simplify right side
    123,153.92x = 9,791,335,564.80
  5. Step 5: Solve for x
    x = 9,791,335,564.80/123,153.92
  6. Step 6: Final answer
    x = 79,504.86

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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.