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Finding the Fourth Proportional to 119,195.60, 178,894.20 and 49,125.20

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Solution

The fourth proportional to 119,195.60, 178,894.20 and 49,125.20 is: 73,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,195.60 : 178,894.20 = 49,125.20 : x
  2. Step 2: Convert to fraction form
    119,195.60/178,894.20 = 49,125.20/x
  3. Step 3: Cross multiply
    119,195.60x = 178,894.20 × 49,125.20
  4. Step 4: Simplify right side
    119,195.60x = 8,788,213,353.84
  5. Step 5: Solve for x
    x = 8,788,213,353.84/119,195.60
  6. Step 6: Final answer
    x = 73,729.34

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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.