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Finding the Fourth Proportional to 133,587, 200,205.54 and 74,450.52

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Solution

The fourth proportional to 133,587, 200,205.54 and 74,450.52 is: 111,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,587 : 200,205.54 = 74,450.52 : x
  2. Step 2: Convert to fraction form
    133,587/200,205.54 = 74,450.52/x
  3. Step 3: Cross multiply
    133,587x = 200,205.54 × 74,450.52
  4. Step 4: Simplify right side
    133,587x = 14,905,406,559.88
  5. Step 5: Solve for x
    x = 14,905,406,559.88/133,587
  6. Step 6: Final answer
    x = 111,578.27

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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.