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Finding the Fourth Proportional to 102,033.56, 153,066.12 and 52,086.56

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Solution

The fourth proportional to 102,033.56, 153,066.12 and 52,086.56 is: 78,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,033.56 : 153,066.12 = 52,086.56 : x
  2. Step 2: Convert to fraction form
    102,033.56/153,066.12 = 52,086.56/x
  3. Step 3: Cross multiply
    102,033.56x = 153,066.12 × 52,086.56
  4. Step 4: Simplify right side
    102,033.56x = 7,972,687,643.35
  5. Step 5: Solve for x
    x = 7,972,687,643.35/102,033.56
  6. Step 6: Final answer
    x = 78,137.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.