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Finding the Fourth Proportional to 189,527.98, 284,359.66 and 81,411.93

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Solution

The fourth proportional to 189,527.98, 284,359.66 and 81,411.93 is: 122,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,527.98 : 284,359.66 = 81,411.93 : x
  2. Step 2: Convert to fraction form
    189,527.98/284,359.66 = 81,411.93/x
  3. Step 3: Cross multiply
    189,527.98x = 284,359.66 × 81,411.93
  4. Step 4: Simplify right side
    189,527.98x = 23,150,268,789.22
  5. Step 5: Solve for x
    x = 23,150,268,789.22/189,527.98
  6. Step 6: Final answer
    x = 122,146.97

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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.