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Finding the Fourth Proportional to 130,732.14, 196,181.14 and 55,852.84

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Solution

The fourth proportional to 130,732.14, 196,181.14 and 55,852.84 is: 83,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,732.14 : 196,181.14 = 55,852.84 : x
  2. Step 2: Convert to fraction form
    130,732.14/196,181.14 = 55,852.84/x
  3. Step 3: Cross multiply
    130,732.14x = 196,181.14 × 55,852.84
  4. Step 4: Simplify right side
    130,732.14x = 10,957,274,428.43
  5. Step 5: Solve for x
    x = 10,957,274,428.43/130,732.14
  6. Step 6: Final answer
    x = 83,814.70

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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.