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Finding the Fourth Proportional to 218,893.59, 302,051.03 and 161,564.22

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Solution

The fourth proportional to 218,893.59, 302,051.03 and 161,564.22 is: 222,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,893.59 : 302,051.03 = 161,564.22 : x
  2. Step 2: Convert to fraction form
    218,893.59/302,051.03 = 161,564.22/x
  3. Step 3: Cross multiply
    218,893.59x = 302,051.03 × 161,564.22
  4. Step 4: Simplify right side
    218,893.59x = 48,800,638,254.33
  5. Step 5: Solve for x
    x = 48,800,638,254.33/218,893.59
  6. Step 6: Final answer
    x = 222,942.29

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1.5x scale

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.