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Finding the Fourth Proportional to 189,616.84, 284,466.31 and 56,507.82

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Solution

The fourth proportional to 189,616.84, 284,466.31 and 56,507.82 is: 84,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,616.84 : 284,466.31 = 56,507.82 : x
  2. Step 2: Convert to fraction form
    189,616.84/284,466.31 = 56,507.82/x
  3. Step 3: Cross multiply
    189,616.84x = 284,466.31 × 56,507.82
  4. Step 4: Simplify right side
    189,616.84x = 16,074,571,041.54
  5. Step 5: Solve for x
    x = 16,074,571,041.54/189,616.84
  6. Step 6: Final answer
    x = 84,773.96

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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.