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Finding the Fourth Proportional to 144,164.41, 198,946.09 and 79,638.07

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Solution

The fourth proportional to 144,164.41, 198,946.09 and 79,638.07 is: 109,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,164.41 : 198,946.09 = 79,638.07 : x
  2. Step 2: Convert to fraction form
    144,164.41/198,946.09 = 79,638.07/x
  3. Step 3: Cross multiply
    144,164.41x = 198,946.09 × 79,638.07
  4. Step 4: Simplify right side
    144,164.41x = 15,843,683,120.18
  5. Step 5: Solve for x
    x = 15,843,683,120.18/144,164.41
  6. Step 6: Final answer
    x = 109,900.10

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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.