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Finding the Fourth Proportional to 128,272.50, 177,012.75 and 71,684.34

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Solution

The fourth proportional to 128,272.50, 177,012.75 and 71,684.34 is: 98,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,272.50 : 177,012.75 = 71,684.34 : x
  2. Step 2: Convert to fraction form
    128,272.50/177,012.75 = 71,684.34/x
  3. Step 3: Cross multiply
    128,272.50x = 177,012.75 × 71,684.34
  4. Step 4: Simplify right side
    128,272.50x = 12,689,042,155.34
  5. Step 5: Solve for x
    x = 12,689,042,155.34/128,272.50
  6. Step 6: Final answer
    x = 98,922.55

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