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Finding the Fourth Proportional to 175,903.16, 263,879.40 and 57,583.88

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Solution

The fourth proportional to 175,903.16, 263,879.40 and 57,583.88 is: 86,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,903.16 : 263,879.40 = 57,583.88 : x
  2. Step 2: Convert to fraction form
    175,903.16/263,879.40 = 57,583.88/x
  3. Step 3: Cross multiply
    175,903.16x = 263,879.40 × 57,583.88
  4. Step 4: Simplify right side
    175,903.16x = 15,195,199,704.07
  5. Step 5: Solve for x
    x = 15,195,199,704.07/175,903.16
  6. Step 6: Final answer
    x = 86,383.89

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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.