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Finding the Fourth Proportional to 175,635, 263,452.50 and 64,827

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Solution

The fourth proportional to 175,635, 263,452.50 and 64,827 is: 97,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,635 : 263,452.50 = 64,827 : x
  2. Step 2: Convert to fraction form
    175,635/263,452.50 = 64,827/x
  3. Step 3: Cross multiply
    175,635x = 263,452.50 × 64,827
  4. Step 4: Simplify right side
    175,635x = 17,078,835,217.50
  5. Step 5: Solve for x
    x = 17,078,835,217.50/175,635
  6. Step 6: Final answer
    x = 97,240.50

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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.