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Finding the Fourth Proportional to 184,830.40, 277,245.60 and 146,776.60

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Solution

The fourth proportional to 184,830.40, 277,245.60 and 146,776.60 is: 220,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,830.40 : 277,245.60 = 146,776.60 : x
  2. Step 2: Convert to fraction form
    184,830.40/277,245.60 = 146,776.60/x
  3. Step 3: Cross multiply
    184,830.40x = 277,245.60 × 146,776.60
  4. Step 4: Simplify right side
    184,830.40x = 40,693,166,532.96
  5. Step 5: Solve for x
    x = 40,693,166,532.96/184,830.40
  6. Step 6: Final answer
    x = 220,164.90

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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.