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Finding the Fourth Proportional to 219,517.38, 302,932.98 and 118,915.38

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Solution

The fourth proportional to 219,517.38, 302,932.98 and 118,915.38 is: 164,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,517.38 : 302,932.98 = 118,915.38 : x
  2. Step 2: Convert to fraction form
    219,517.38/302,932.98 = 118,915.38/x
  3. Step 3: Cross multiply
    219,517.38x = 302,932.98 × 118,915.38
  4. Step 4: Simplify right side
    219,517.38x = 36,023,390,431.23
  5. Step 5: Solve for x
    x = 36,023,390,431.23/219,517.38
  6. Step 6: Final answer
    x = 164,102.68

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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.