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Finding the Fourth Proportional to 158,709.50, 238,124.19 and 83,826.62

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Solution

The fourth proportional to 158,709.50, 238,124.19 and 83,826.62 is: 125,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,709.50 : 238,124.19 = 83,826.62 : x
  2. Step 2: Convert to fraction form
    158,709.50/238,124.19 = 83,826.62/x
  3. Step 3: Cross multiply
    158,709.50x = 238,124.19 × 83,826.62
  4. Step 4: Simplify right side
    158,709.50x = 19,961,145,987.94
  5. Step 5: Solve for x
    x = 19,961,145,987.94/158,709.50
  6. Step 6: Final answer
    x = 125,771.59

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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.