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Finding the Fourth Proportional to 130,072, 195,103.65 and 55,143.94

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Solution

The fourth proportional to 130,072, 195,103.65 and 55,143.94 is: 82,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,072 : 195,103.65 = 55,143.94 : x
  2. Step 2: Convert to fraction form
    130,072/195,103.65 = 55,143.94/x
  3. Step 3: Cross multiply
    130,072x = 195,103.65 × 55,143.94
  4. Step 4: Simplify right side
    130,072x = 10,758,783,969.38
  5. Step 5: Solve for x
    x = 10,758,783,969.38/130,072
  6. Step 6: Final answer
    x = 82,714.07

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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.