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Finding the Fourth Proportional to 136,142.40, 204,214.61 and 47,395.69

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Solution

The fourth proportional to 136,142.40, 204,214.61 and 47,395.69 is: 71,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,142.40 : 204,214.61 = 47,395.69 : x
  2. Step 2: Convert to fraction form
    136,142.40/204,214.61 = 47,395.69/x
  3. Step 3: Cross multiply
    136,142.40x = 204,214.61 × 47,395.69
  4. Step 4: Simplify right side
    136,142.40x = 9,678,892,349.03
  5. Step 5: Solve for x
    x = 9,678,892,349.03/136,142.40
  6. Step 6: Final answer
    x = 71,093.89

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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.