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Finding the Fourth Proportional to 235,635, 353,522.10 and 135,866.76

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Solution

The fourth proportional to 235,635, 353,522.10 and 135,866.76 is: 203,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,635 : 353,522.10 = 135,866.76 : x
  2. Step 2: Convert to fraction form
    235,635/353,522.10 = 135,866.76/x
  3. Step 3: Cross multiply
    235,635x = 353,522.10 × 135,866.76
  4. Step 4: Simplify right side
    235,635x = 48,031,902,315.40
  5. Step 5: Solve for x
    x = 48,031,902,315.40/235,635
  6. Step 6: Final answer
    x = 203,840.27

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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.