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Finding the Fourth Proportional to 122,271.15, 183,406.73 and 106,719.15

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Solution

The fourth proportional to 122,271.15, 183,406.73 and 106,719.15 is: 160,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,271.15 : 183,406.73 = 106,719.15 : x
  2. Step 2: Convert to fraction form
    122,271.15/183,406.73 = 106,719.15/x
  3. Step 3: Cross multiply
    122,271.15x = 183,406.73 × 106,719.15
  4. Step 4: Simplify right side
    122,271.15x = 19,573,009,796.28
  5. Step 5: Solve for x
    x = 19,573,009,796.28/122,271.15
  6. Step 6: Final answer
    x = 160,078.73

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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.