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Finding the Fourth Proportional to 154,646.82, 232,007.09 and 54,815.74

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Solution

The fourth proportional to 154,646.82, 232,007.09 and 54,815.74 is: 82,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,646.82 : 232,007.09 = 54,815.74 : x
  2. Step 2: Convert to fraction form
    154,646.82/232,007.09 = 54,815.74/x
  3. Step 3: Cross multiply
    154,646.82x = 232,007.09 × 54,815.74
  4. Step 4: Simplify right side
    154,646.82x = 12,717,639,469.50
  5. Step 5: Solve for x
    x = 12,717,639,469.50/154,646.82
  6. Step 6: Final answer
    x = 82,236.67

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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.