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Finding the Fourth Proportional to 102,395.70, 153,548.46 and 51,763.56

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Solution

The fourth proportional to 102,395.70, 153,548.46 and 51,763.56 is: 77,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395.70 : 153,548.46 = 51,763.56 : x
  2. Step 2: Convert to fraction form
    102,395.70/153,548.46 = 51,763.56/x
  3. Step 3: Cross multiply
    102,395.70x = 153,548.46 × 51,763.56
  4. Step 4: Simplify right side
    102,395.70x = 7,948,214,922.12
  5. Step 5: Solve for x
    x = 7,948,214,922.12/102,395.70
  6. Step 6: Final answer
    x = 77,622.55

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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.