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Finding the Fourth Proportional to 133,768.68, 200,650.98 and 32,567.68

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Solution

The fourth proportional to 133,768.68, 200,650.98 and 32,567.68 is: 48,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,768.68 : 200,650.98 = 32,567.68 : x
  2. Step 2: Convert to fraction form
    133,768.68/200,650.98 = 32,567.68/x
  3. Step 3: Cross multiply
    133,768.68x = 200,650.98 × 32,567.68
  4. Step 4: Simplify right side
    133,768.68x = 6,534,737,281.27
  5. Step 5: Solve for x
    x = 6,534,737,281.27/133,768.68
  6. Step 6: Final answer
    x = 48,851.03

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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.