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Finding the Fourth Proportional to 187,870.92, 259,288.56 and 116,274

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Solution

The fourth proportional to 187,870.92, 259,288.56 and 116,274 is: 160,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,870.92 : 259,288.56 = 116,274 : x
  2. Step 2: Convert to fraction form
    187,870.92/259,288.56 = 116,274/x
  3. Step 3: Cross multiply
    187,870.92x = 259,288.56 × 116,274
  4. Step 4: Simplify right side
    187,870.92x = 30,148,518,025.44
  5. Step 5: Solve for x
    x = 30,148,518,025.44/187,870.92
  6. Step 6: Final answer
    x = 160,474.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.