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Finding the Fourth Proportional to 189,102.58, 283,713.33 and 55,984

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Solution

The fourth proportional to 189,102.58, 283,713.33 and 55,984 is: 83,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,102.58 : 283,713.33 = 55,984 : x
  2. Step 2: Convert to fraction form
    189,102.58/283,713.33 = 55,984/x
  3. Step 3: Cross multiply
    189,102.58x = 283,713.33 × 55,984
  4. Step 4: Simplify right side
    189,102.58x = 15,883,407,066.72
  5. Step 5: Solve for x
    x = 15,883,407,066.72/189,102.58
  6. Step 6: Final answer
    x = 83,993.60

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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.