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Finding the Fourth Proportional to 186,096.96, 279,145.44 and 45,855.60

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Solution

The fourth proportional to 186,096.96, 279,145.44 and 45,855.60 is: 68,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,096.96 : 279,145.44 = 45,855.60 : x
  2. Step 2: Convert to fraction form
    186,096.96/279,145.44 = 45,855.60/x
  3. Step 3: Cross multiply
    186,096.96x = 279,145.44 × 45,855.60
  4. Step 4: Simplify right side
    186,096.96x = 12,800,381,638.46
  5. Step 5: Solve for x
    x = 12,800,381,638.46/186,096.96
  6. Step 6: Final answer
    x = 68,783.40

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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.