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Finding the Fourth Proportional to 205,300.73, 283,323.08 and 118,085.67

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Solution

The fourth proportional to 205,300.73, 283,323.08 and 118,085.67 is: 162,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.73 : 283,323.08 = 118,085.67 : x
  2. Step 2: Convert to fraction form
    205,300.73/283,323.08 = 118,085.67/x
  3. Step 3: Cross multiply
    205,300.73x = 283,323.08 × 118,085.67
  4. Step 4: Simplify right side
    205,300.73x = 33,456,396,023.48
  5. Step 5: Solve for x
    x = 33,456,396,023.48/205,300.73
  6. Step 6: Final answer
    x = 162,962.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.