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Finding the Fourth Proportional to 176,068.80, 263,757.60 and 105,739.20

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Solution

The fourth proportional to 176,068.80, 263,757.60 and 105,739.20 is: 158,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,068.80 : 263,757.60 = 105,739.20 : x
  2. Step 2: Convert to fraction form
    176,068.80/263,757.60 = 105,739.20/x
  3. Step 3: Cross multiply
    176,068.80x = 263,757.60 × 105,739.20
  4. Step 4: Simplify right side
    176,068.80x = 27,889,517,617.92
  5. Step 5: Solve for x
    x = 27,889,517,617.92/176,068.80
  6. Step 6: Final answer
    x = 158,401.25

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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.