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Finding the Fourth Proportional to 175,842.80, 264,007.20 and 113,051.60

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Solution

The fourth proportional to 175,842.80, 264,007.20 and 113,051.60 is: 169,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,842.80 : 264,007.20 = 113,051.60 : x
  2. Step 2: Convert to fraction form
    175,842.80/264,007.20 = 113,051.60/x
  3. Step 3: Cross multiply
    175,842.80x = 264,007.20 × 113,051.60
  4. Step 4: Simplify right side
    175,842.80x = 29,846,436,371.52
  5. Step 5: Solve for x
    x = 29,846,436,371.52/175,842.80
  6. Step 6: Final answer
    x = 169,733.63

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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.