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Finding the Fourth Proportional to 189,474.72, 282,565.20 and 186,932.34

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Solution

The fourth proportional to 189,474.72, 282,565.20 and 186,932.34 is: 278,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,474.72 : 282,565.20 = 186,932.34 : x
  2. Step 2: Convert to fraction form
    189,474.72/282,565.20 = 186,932.34/x
  3. Step 3: Cross multiply
    189,474.72x = 282,565.20 × 186,932.34
  4. Step 4: Simplify right side
    189,474.72x = 52,820,574,038.57
  5. Step 5: Solve for x
    x = 52,820,574,038.57/189,474.72
  6. Step 6: Final answer
    x = 278,773.73

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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.