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Finding the Fourth Proportional to 133,463.34, 200,226.15 and 38,695.50

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Solution

The fourth proportional to 133,463.34, 200,226.15 and 38,695.50 is: 58,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,463.34 : 200,226.15 = 38,695.50 : x
  2. Step 2: Convert to fraction form
    133,463.34/200,226.15 = 38,695.50/x
  3. Step 3: Cross multiply
    133,463.34x = 200,226.15 × 38,695.50
  4. Step 4: Simplify right side
    133,463.34x = 7,747,850,987.33
  5. Step 5: Solve for x
    x = 7,747,850,987.33/133,463.34
  6. Step 6: Final answer
    x = 58,052.28

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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.