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Finding the Fourth Proportional to 189,849.60, 262,076.16 and 113,395.20

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Solution

The fourth proportional to 189,849.60, 262,076.16 and 113,395.20 is: 156,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,849.60 : 262,076.16 = 113,395.20 : x
  2. Step 2: Convert to fraction form
    189,849.60/262,076.16 = 113,395.20/x
  3. Step 3: Cross multiply
    189,849.60x = 262,076.16 × 113,395.20
  4. Step 4: Simplify right side
    189,849.60x = 29,718,178,578.43
  5. Step 5: Solve for x
    x = 29,718,178,578.43/189,849.60
  6. Step 6: Final answer
    x = 156,535.38

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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.