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Finding the Fourth Proportional to 128,295.38, 177,053.09 and 71,706.75

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Solution

The fourth proportional to 128,295.38, 177,053.09 and 71,706.75 is: 98,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,295.38 : 177,053.09 = 71,706.75 : x
  2. Step 2: Convert to fraction form
    128,295.38/177,053.09 = 71,706.75/x
  3. Step 3: Cross multiply
    128,295.38x = 177,053.09 × 71,706.75
  4. Step 4: Simplify right side
    128,295.38x = 12,695,901,302.82
  5. Step 5: Solve for x
    x = 12,695,901,302.82/128,295.38
  6. Step 6: Final answer
    x = 98,958.37

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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.