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Finding the Fourth Proportional to 119,156.63, 178,734.80 and 30,410.15

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Solution

The fourth proportional to 119,156.63, 178,734.80 and 30,410.15 is: 45,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,156.63 : 178,734.80 = 30,410.15 : x
  2. Step 2: Convert to fraction form
    119,156.63/178,734.80 = 30,410.15/x
  3. Step 3: Cross multiply
    119,156.63x = 178,734.80 × 30,410.15
  4. Step 4: Simplify right side
    119,156.63x = 5,435,351,222.56
  5. Step 5: Solve for x
    x = 5,435,351,222.56/119,156.63
  6. Step 6: Final answer
    x = 45,615.18

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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.