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Finding the Fourth Proportional to 189,172.10, 283,709.70 and 56,021.24

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Solution

The fourth proportional to 189,172.10, 283,709.70 and 56,021.24 is: 84,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,172.10 : 283,709.70 = 56,021.24 : x
  2. Step 2: Convert to fraction form
    189,172.10/283,709.70 = 56,021.24/x
  3. Step 3: Cross multiply
    189,172.10x = 283,709.70 × 56,021.24
  4. Step 4: Simplify right side
    189,172.10x = 15,893,767,775.48
  5. Step 5: Solve for x
    x = 15,893,767,775.48/189,172.10
  6. Step 6: Final answer
    x = 84,017.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.