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Finding the Fourth Proportional to 176,109.80, 263,775.90 and 105,866.60

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Solution

The fourth proportional to 176,109.80, 263,775.90 and 105,866.60 is: 158,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,109.80 : 263,775.90 = 105,866.60 : x
  2. Step 2: Convert to fraction form
    176,109.80/263,775.90 = 105,866.60/x
  3. Step 3: Cross multiply
    176,109.80x = 263,775.90 × 105,866.60
  4. Step 4: Simplify right side
    176,109.80x = 27,925,057,694.94
  5. Step 5: Solve for x
    x = 27,925,057,694.94/176,109.80
  6. Step 6: Final answer
    x = 158,566.18

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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.