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Finding the Fourth Proportional to 140,662.38, 194,114.16 and 77,000.16

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Solution

The fourth proportional to 140,662.38, 194,114.16 and 77,000.16 is: 106,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,662.38 : 194,114.16 = 77,000.16 : x
  2. Step 2: Convert to fraction form
    140,662.38/194,114.16 = 77,000.16/x
  3. Step 3: Cross multiply
    140,662.38x = 194,114.16 × 77,000.16
  4. Step 4: Simplify right side
    140,662.38x = 14,946,821,378.27
  5. Step 5: Solve for x
    x = 14,946,821,378.27/140,662.38
  6. Step 6: Final answer
    x = 106,260.26

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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.