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Finding the Fourth Proportional to 219,517.44, 302,934.56 and 118,915.44

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Solution

The fourth proportional to 219,517.44, 302,934.56 and 118,915.44 is: 164,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,517.44 : 302,934.56 = 118,915.44 : x
  2. Step 2: Convert to fraction form
    219,517.44/302,934.56 = 118,915.44/x
  3. Step 3: Cross multiply
    219,517.44x = 302,934.56 × 118,915.44
  4. Step 4: Simplify right side
    219,517.44x = 36,023,596,493.61
  5. Step 5: Solve for x
    x = 36,023,596,493.61/219,517.44
  6. Step 6: Final answer
    x = 164,103.57

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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.