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Finding the Fourth Proportional to 123,272.70, 184,908.45 and 48,339.90

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Solution

The fourth proportional to 123,272.70, 184,908.45 and 48,339.90 is: 72,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,272.70 : 184,908.45 = 48,339.90 : x
  2. Step 2: Convert to fraction form
    123,272.70/184,908.45 = 48,339.90/x
  3. Step 3: Cross multiply
    123,272.70x = 184,908.45 × 48,339.90
  4. Step 4: Simplify right side
    123,272.70x = 8,938,455,982.16
  5. Step 5: Solve for x
    x = 8,938,455,982.16/123,272.70
  6. Step 6: Final answer
    x = 72,509.61

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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.