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Finding the Fourth Proportional to 189,165.77, 283,790.16 and 56,056.44

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Solution

The fourth proportional to 189,165.77, 283,790.16 and 56,056.44 is: 84,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,165.77 : 283,790.16 = 56,056.44 : x
  2. Step 2: Convert to fraction form
    189,165.77/283,790.16 = 56,056.44/x
  3. Step 3: Cross multiply
    189,165.77x = 283,790.16 × 56,056.44
  4. Step 4: Simplify right side
    189,165.77x = 15,908,266,076.63
  5. Step 5: Solve for x
    x = 15,908,266,076.63/189,165.77
  6. Step 6: Final answer
    x = 84,096.96

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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.