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Finding the Fourth Proportional to 119,114.73, 178,694.99 and 48,044.58

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Solution

The fourth proportional to 119,114.73, 178,694.99 and 48,044.58 is: 72,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,114.73 : 178,694.99 = 48,044.58 : x
  2. Step 2: Convert to fraction form
    119,114.73/178,694.99 = 48,044.58/x
  3. Step 3: Cross multiply
    119,114.73x = 178,694.99 × 48,044.58
  4. Step 4: Simplify right side
    119,114.73x = 8,585,325,502.43
  5. Step 5: Solve for x
    x = 8,585,325,502.43/119,114.73
  6. Step 6: Final answer
    x = 72,076.10

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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.