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Finding the Fourth Proportional to 189,208.55, 283,491.64 and 114,171.01

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Solution

The fourth proportional to 189,208.55, 283,491.64 and 114,171.01 is: 171,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,208.55 : 283,491.64 = 114,171.01 : x
  2. Step 2: Convert to fraction form
    189,208.55/283,491.64 = 114,171.01/x
  3. Step 3: Cross multiply
    189,208.55x = 283,491.64 × 114,171.01
  4. Step 4: Simplify right side
    189,208.55x = 32,366,525,871.20
  5. Step 5: Solve for x
    x = 32,366,525,871.20/189,208.55
  6. Step 6: Final answer
    x = 171,062.70

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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.