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Finding the Fourth Proportional to 199,317.60, 298,976.40 and 184,111.20

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Solution

The fourth proportional to 199,317.60, 298,976.40 and 184,111.20 is: 276,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,317.60 : 298,976.40 = 184,111.20 : x
  2. Step 2: Convert to fraction form
    199,317.60/298,976.40 = 184,111.20/x
  3. Step 3: Cross multiply
    199,317.60x = 298,976.40 × 184,111.20
  4. Step 4: Simplify right side
    199,317.60x = 55,044,903,775.68
  5. Step 5: Solve for x
    x = 55,044,903,775.68/199,317.60
  6. Step 6: Final answer
    x = 276,166.80

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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.