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Finding the Fourth Proportional to 189,111.94, 283,688.66 and 94,365.97

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Solution

The fourth proportional to 189,111.94, 283,688.66 and 94,365.97 is: 141,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,111.94 : 283,688.66 = 94,365.97 : x
  2. Step 2: Convert to fraction form
    189,111.94/283,688.66 = 94,365.97/x
  3. Step 3: Cross multiply
    189,111.94x = 283,688.66 × 94,365.97
  4. Step 4: Simplify right side
    189,111.94x = 26,770,554,160.46
  5. Step 5: Solve for x
    x = 26,770,554,160.46/189,111.94
  6. Step 6: Final answer
    x = 141,559.31

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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.