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Finding the Fourth Proportional to 175,828, 263,754.16 and 70,646.88

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Solution

The fourth proportional to 175,828, 263,754.16 and 70,646.88 is: 105,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,828 : 263,754.16 = 70,646.88 : x
  2. Step 2: Convert to fraction form
    175,828/263,754.16 = 70,646.88/x
  3. Step 3: Cross multiply
    175,828x = 263,754.16 × 70,646.88
  4. Step 4: Simplify right side
    175,828x = 18,633,408,491.02
  5. Step 5: Solve for x
    x = 18,633,408,491.02/175,828
  6. Step 6: Final answer
    x = 105,975.21

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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.