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Finding the Fourth Proportional to 122,093.40, 183,140.10 and 106,541.40

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Solution

The fourth proportional to 122,093.40, 183,140.10 and 106,541.40 is: 159,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,093.40 : 183,140.10 = 106,541.40 : x
  2. Step 2: Convert to fraction form
    122,093.40/183,140.10 = 106,541.40/x
  3. Step 3: Cross multiply
    122,093.40x = 183,140.10 × 106,541.40
  4. Step 4: Simplify right side
    122,093.40x = 19,512,002,650.14
  5. Step 5: Solve for x
    x = 19,512,002,650.14/122,093.40
  6. Step 6: Final answer
    x = 159,812.10

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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.