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Finding the Fourth Proportional to 189,159.68, 283,238.94 and 114,179.60

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Solution

The fourth proportional to 189,159.68, 283,238.94 and 114,179.60 is: 170,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,159.68 : 283,238.94 = 114,179.60 : x
  2. Step 2: Convert to fraction form
    189,159.68/283,238.94 = 114,179.60/x
  3. Step 3: Cross multiply
    189,159.68x = 283,238.94 × 114,179.60
  4. Step 4: Simplify right side
    189,159.68x = 32,340,108,873.62
  5. Step 5: Solve for x
    x = 32,340,108,873.62/189,159.68
  6. Step 6: Final answer
    x = 170,967.24

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1.5x scale

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.