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Finding the Fourth Proportional to 175,586.30, 263,314.65 and 86,810.30

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Solution

The fourth proportional to 175,586.30, 263,314.65 and 86,810.30 is: 130,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,586.30 : 263,314.65 = 86,810.30 : x
  2. Step 2: Convert to fraction form
    175,586.30/263,314.65 = 86,810.30/x
  3. Step 3: Cross multiply
    175,586.30x = 263,314.65 × 86,810.30
  4. Step 4: Simplify right side
    175,586.30x = 22,858,423,760.90
  5. Step 5: Solve for x
    x = 22,858,423,760.90/175,586.30
  6. Step 6: Final answer
    x = 130,183.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.