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Finding the Fourth Proportional to 184,683.44, 255,293.52 and 164,738

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Solution

The fourth proportional to 184,683.44, 255,293.52 and 164,738 is: 227,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,683.44 : 255,293.52 = 164,738 : x
  2. Step 2: Convert to fraction form
    184,683.44/255,293.52 = 164,738/x
  3. Step 3: Cross multiply
    184,683.44x = 255,293.52 × 164,738
  4. Step 4: Simplify right side
    184,683.44x = 42,056,543,897.76
  5. Step 5: Solve for x
    x = 42,056,543,897.76/184,683.44
  6. Step 6: Final answer
    x = 227,722.33

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