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Finding the Fourth Proportional to 219,540.44, 302,967.42 and 118,939.16

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Solution

The fourth proportional to 219,540.44, 302,967.42 and 118,939.16 is: 164,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,540.44 : 302,967.42 = 118,939.16 : x
  2. Step 2: Convert to fraction form
    219,540.44/302,967.42 = 118,939.16/x
  3. Step 3: Cross multiply
    219,540.44x = 302,967.42 × 118,939.16
  4. Step 4: Simplify right side
    219,540.44x = 36,034,690,442.17
  5. Step 5: Solve for x
    x = 36,034,690,442.17/219,540.44
  6. Step 6: Final answer
    x = 164,136.91

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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.