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Finding the Fourth Proportional to 184,858.40, 277,287.60 and 146,804.60

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Solution

The fourth proportional to 184,858.40, 277,287.60 and 146,804.60 is: 220,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,858.40 : 277,287.60 = 146,804.60 : x
  2. Step 2: Convert to fraction form
    184,858.40/277,287.60 = 146,804.60/x
  3. Step 3: Cross multiply
    184,858.40x = 277,287.60 × 146,804.60
  4. Step 4: Simplify right side
    184,858.40x = 40,707,095,202.96
  5. Step 5: Solve for x
    x = 40,707,095,202.96/184,858.40
  6. Step 6: Final answer
    x = 220,206.90

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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.