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Finding the Fourth Proportional to 189,076.38, 260,975.77 and 111,620.13

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Solution

The fourth proportional to 189,076.38, 260,975.77 and 111,620.13 is: 154,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.38 : 260,975.77 = 111,620.13 : x
  2. Step 2: Convert to fraction form
    189,076.38/260,975.77 = 111,620.13/x
  3. Step 3: Cross multiply
    189,076.38x = 260,975.77 × 111,620.13
  4. Step 4: Simplify right side
    189,076.38x = 29,130,148,744.40
  5. Step 5: Solve for x
    x = 29,130,148,744.40/189,076.38
  6. Step 6: Final answer
    x = 154,065.51

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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.