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Finding the Fourth Proportional to 123,043.68, 184,580.91 and 48,154.16

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Solution

The fourth proportional to 123,043.68, 184,580.91 and 48,154.16 is: 72,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,043.68 : 184,580.91 = 48,154.16 : x
  2. Step 2: Convert to fraction form
    123,043.68/184,580.91 = 48,154.16/x
  3. Step 3: Cross multiply
    123,043.68x = 184,580.91 × 48,154.16
  4. Step 4: Simplify right side
    123,043.68x = 8,888,339,134.54
  5. Step 5: Solve for x
    x = 8,888,339,134.54/123,043.68
  6. Step 6: Final answer
    x = 72,237.27

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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.