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Finding the Fourth Proportional to 123,119.55, 184,543.97 and 48,225.74

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Solution

The fourth proportional to 123,119.55, 184,543.97 and 48,225.74 is: 72,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,119.55 : 184,543.97 = 48,225.74 : x
  2. Step 2: Convert to fraction form
    123,119.55/184,543.97 = 48,225.74/x
  3. Step 3: Cross multiply
    123,119.55x = 184,543.97 × 48,225.74
  4. Step 4: Simplify right side
    123,119.55x = 8,899,768,351.94
  5. Step 5: Solve for x
    x = 8,899,768,351.94/123,119.55
  6. Step 6: Final answer
    x = 72,285.58

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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.