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Finding the Fourth Proportional to 103,694.20, 155,541.30 and 41,409.40

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Solution

The fourth proportional to 103,694.20, 155,541.30 and 41,409.40 is: 62,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694.20 : 155,541.30 = 41,409.40 : x
  2. Step 2: Convert to fraction form
    103,694.20/155,541.30 = 41,409.40/x
  3. Step 3: Cross multiply
    103,694.20x = 155,541.30 × 41,409.40
  4. Step 4: Simplify right side
    103,694.20x = 6,440,871,908.22
  5. Step 5: Solve for x
    x = 6,440,871,908.22/103,694.20
  6. Step 6: Final answer
    x = 62,114.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.