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Finding the Fourth Proportional to 189,145.10, 283,785.41 and 81,029.11

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Solution

The fourth proportional to 189,145.10, 283,785.41 and 81,029.11 is: 121,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,145.10 : 283,785.41 = 81,029.11 : x
  2. Step 2: Convert to fraction form
    189,145.10/283,785.41 = 81,029.11/x
  3. Step 3: Cross multiply
    189,145.10x = 283,785.41 × 81,029.11
  4. Step 4: Simplify right side
    189,145.10x = 22,994,879,203.29
  5. Step 5: Solve for x
    x = 22,994,879,203.29/189,145.10
  6. Step 6: Final answer
    x = 121,572.69

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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.