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Finding the Fourth Proportional to 189,478.72, 282,571.16 and 186,936.34

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Solution

The fourth proportional to 189,478.72, 282,571.16 and 186,936.34 is: 278,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,478.72 : 282,571.16 = 186,936.34 : x
  2. Step 2: Convert to fraction form
    189,478.72/282,571.16 = 186,936.34/x
  3. Step 3: Cross multiply
    189,478.72x = 282,571.16 × 186,936.34
  4. Step 4: Simplify right side
    189,478.72x = 52,822,818,439.95
  5. Step 5: Solve for x
    x = 52,822,818,439.95/189,478.72
  6. Step 6: Final answer
    x = 278,779.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.