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Finding the Fourth Proportional to 189,615.15, 283,947.05 and 171,640.76

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Solution

The fourth proportional to 189,615.15, 283,947.05 and 171,640.76 is: 257,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,615.15 : 283,947.05 = 171,640.76 : x
  2. Step 2: Convert to fraction form
    189,615.15/283,947.05 = 171,640.76/x
  3. Step 3: Cross multiply
    189,615.15x = 283,947.05 × 171,640.76
  4. Step 4: Simplify right side
    189,615.15x = 48,736,886,471.12
  5. Step 5: Solve for x
    x = 48,736,886,471.12/189,615.15
  6. Step 6: Final answer
    x = 257,030.55

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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.