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Finding the Fourth Proportional to 184,158.86, 254,137.38 and 102,485.73

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Solution

The fourth proportional to 184,158.86, 254,137.38 and 102,485.73 is: 141,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,158.86 : 254,137.38 = 102,485.73 : x
  2. Step 2: Convert to fraction form
    184,158.86/254,137.38 = 102,485.73/x
  3. Step 3: Cross multiply
    184,158.86x = 254,137.38 × 102,485.73
  4. Step 4: Simplify right side
    184,158.86x = 26,045,454,909.59
  5. Step 5: Solve for x
    x = 26,045,454,909.59/184,158.86
  6. Step 6: Final answer
    x = 141,429.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.