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Finding the Fourth Proportional to 189,027.80, 283,547.16 and 70,676.54

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Solution

The fourth proportional to 189,027.80, 283,547.16 and 70,676.54 is: 106,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,027.80 : 283,547.16 = 70,676.54 : x
  2. Step 2: Convert to fraction form
    189,027.80/283,547.16 = 70,676.54/x
  3. Step 3: Cross multiply
    189,027.80x = 283,547.16 × 70,676.54
  4. Step 4: Simplify right side
    189,027.80x = 20,040,130,777.89
  5. Step 5: Solve for x
    x = 20,040,130,777.89/189,027.80
  6. Step 6: Final answer
    x = 106,016.85

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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.