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Finding the Fourth Proportional to 189,754.37, 284,631.44 and 49,513.00

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Solution

The fourth proportional to 189,754.37, 284,631.44 and 49,513.00 is: 74,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754.37 : 284,631.44 = 49,513.00 : x
  2. Step 2: Convert to fraction form
    189,754.37/284,631.44 = 49,513.00/x
  3. Step 3: Cross multiply
    189,754.37x = 284,631.44 × 49,513.00
  4. Step 4: Simplify right side
    189,754.37x = 14,092,955,680.50
  5. Step 5: Solve for x
    x = 14,092,955,680.50/189,754.37
  6. Step 6: Final answer
    x = 74,269.47

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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.