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Finding the Fourth Proportional to 144,043.90, 198,762.24 and 80,384.38

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Solution

The fourth proportional to 144,043.90, 198,762.24 and 80,384.38 is: 110,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,043.90 : 198,762.24 = 80,384.38 : x
  2. Step 2: Convert to fraction form
    144,043.90/198,762.24 = 80,384.38/x
  3. Step 3: Cross multiply
    144,043.90x = 198,762.24 × 80,384.38
  4. Step 4: Simplify right side
    144,043.90x = 15,977,379,429.81
  5. Step 5: Solve for x
    x = 15,977,379,429.81/144,043.90
  6. Step 6: Final answer
    x = 110,920.21

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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.