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Finding the Fourth Proportional to 130,033.12, 194,777.52 and 83,046.88

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Solution

The fourth proportional to 130,033.12, 194,777.52 and 83,046.88 is: 124,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,033.12 : 194,777.52 = 83,046.88 : x
  2. Step 2: Convert to fraction form
    130,033.12/194,777.52 = 83,046.88/x
  3. Step 3: Cross multiply
    130,033.12x = 194,777.52 × 83,046.88
  4. Step 4: Simplify right side
    130,033.12x = 16,175,665,330.14
  5. Step 5: Solve for x
    x = 16,175,665,330.14/130,033.12
  6. Step 6: Final answer
    x = 124,396.50

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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.