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Finding the Fourth Proportional to 101,797.20, 152,841.60 and 77,011.20

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Solution

The fourth proportional to 101,797.20, 152,841.60 and 77,011.20 is: 115,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,797.20 : 152,841.60 = 77,011.20 : x
  2. Step 2: Convert to fraction form
    101,797.20/152,841.60 = 77,011.20/x
  3. Step 3: Cross multiply
    101,797.20x = 152,841.60 × 77,011.20
  4. Step 4: Simplify right side
    101,797.20x = 11,770,515,025.92
  5. Step 5: Solve for x
    x = 11,770,515,025.92/101,797.20
  6. Step 6: Final answer
    x = 115,627.10

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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.