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Finding the Fourth Proportional to 123,284.84, 184,928.46 and 44,343.86

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Solution

The fourth proportional to 123,284.84, 184,928.46 and 44,343.86 is: 66,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,284.84 : 184,928.46 = 44,343.86 : x
  2. Step 2: Convert to fraction form
    123,284.84/184,928.46 = 44,343.86/x
  3. Step 3: Cross multiply
    123,284.84x = 184,928.46 × 44,343.86
  4. Step 4: Simplify right side
    123,284.84x = 8,200,441,740.26
  5. Step 5: Solve for x
    x = 8,200,441,740.26/123,284.84
  6. Step 6: Final answer
    x = 66,516.22

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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.