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Finding the Fourth Proportional to 175,668, 263,509.29 and 51,009

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Solution

The fourth proportional to 175,668, 263,509.29 and 51,009 is: 76,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,668 : 263,509.29 = 51,009 : x
  2. Step 2: Convert to fraction form
    175,668/263,509.29 = 51,009/x
  3. Step 3: Cross multiply
    175,668x = 263,509.29 × 51,009
  4. Step 4: Simplify right side
    175,668x = 13,441,345,373.61
  5. Step 5: Solve for x
    x = 13,441,345,373.61/175,668
  6. Step 6: Final answer
    x = 76,515.62

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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.