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Finding the Fourth Proportional to 175,769.16, 263,687.66 and 57,408.68

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Solution

The fourth proportional to 175,769.16, 263,687.66 and 57,408.68 is: 86,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,769.16 : 263,687.66 = 57,408.68 : x
  2. Step 2: Convert to fraction form
    175,769.16/263,687.66 = 57,408.68/x
  3. Step 3: Cross multiply
    175,769.16x = 263,687.66 × 57,408.68
  4. Step 4: Simplify right side
    175,769.16x = 15,137,960,492.89
  5. Step 5: Solve for x
    x = 15,137,960,492.89/175,769.16
  6. Step 6: Final answer
    x = 86,124.10

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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.