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Finding the Fourth Proportional to 176,072.80, 263,763.60 and 105,743.20

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Solution

The fourth proportional to 176,072.80, 263,763.60 and 105,743.20 is: 158,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,072.80 : 263,763.60 = 105,743.20 : x
  2. Step 2: Convert to fraction form
    176,072.80/263,763.60 = 105,743.20/x
  3. Step 3: Cross multiply
    176,072.80x = 263,763.60 × 105,743.20
  4. Step 4: Simplify right side
    176,072.80x = 27,891,207,107.52
  5. Step 5: Solve for x
    x = 27,891,207,107.52/176,072.80
  6. Step 6: Final answer
    x = 158,407.24

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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.