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Finding the Fourth Proportional to 291,091.08, 401,683.46 and 163,742.06

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Solution

The fourth proportional to 291,091.08, 401,683.46 and 163,742.06 is: 225,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,091.08 : 401,683.46 = 163,742.06 : x
  2. Step 2: Convert to fraction form
    291,091.08/401,683.46 = 163,742.06/x
  3. Step 3: Cross multiply
    291,091.08x = 401,683.46 × 163,742.06
  4. Step 4: Simplify right side
    291,091.08x = 65,772,477,208.33
  5. Step 5: Solve for x
    x = 65,772,477,208.33/291,091.08
  6. Step 6: Final answer
    x = 225,951.54

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Why These Related Problems?

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