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Finding the Fourth Proportional to 184,709.94, 277,064.91 and 142,651.37

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Solution

The fourth proportional to 184,709.94, 277,064.91 and 142,651.37 is: 213,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,709.94 : 277,064.91 = 142,651.37 : x
  2. Step 2: Convert to fraction form
    184,709.94/277,064.91 = 142,651.37/x
  3. Step 3: Cross multiply
    184,709.94x = 277,064.91 × 142,651.37
  4. Step 4: Simplify right side
    184,709.94x = 39,523,688,990.43
  5. Step 5: Solve for x
    x = 39,523,688,990.43/184,709.94
  6. Step 6: Final answer
    x = 213,977.06

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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.