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Finding the Fourth Proportional to 123,159.24, 184,664.61 and 48,189.87

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Solution

The fourth proportional to 123,159.24, 184,664.61 and 48,189.87 is: 72,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,159.24 : 184,664.61 = 48,189.87 : x
  2. Step 2: Convert to fraction form
    123,159.24/184,664.61 = 48,189.87/x
  3. Step 3: Cross multiply
    123,159.24x = 184,664.61 × 48,189.87
  4. Step 4: Simplify right side
    123,159.24x = 8,898,963,549.50
  5. Step 5: Solve for x
    x = 8,898,963,549.50/123,159.24
  6. Step 6: Final answer
    x = 72,255.75

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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.