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Finding the Fourth Proportional to 186,497.96, 279,990.80 and 110,734.76

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Solution

The fourth proportional to 186,497.96, 279,990.80 and 110,734.76 is: 166,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,497.96 : 279,990.80 = 110,734.76 : x
  2. Step 2: Convert to fraction form
    186,497.96/279,990.80 = 110,734.76/x
  3. Step 3: Cross multiply
    186,497.96x = 279,990.80 × 110,734.76
  4. Step 4: Simplify right side
    186,497.96x = 31,004,714,040.21
  5. Step 5: Solve for x
    x = 31,004,714,040.21/186,497.96
  6. Step 6: Final answer
    x = 166,246.93

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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.