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Finding the Fourth Proportional to 102,000.80, 152,698.80 and 75,821.60

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Solution

The fourth proportional to 102,000.80, 152,698.80 and 75,821.60 is: 113,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.80 : 152,698.80 = 75,821.60 : x
  2. Step 2: Convert to fraction form
    102,000.80/152,698.80 = 75,821.60/x
  3. Step 3: Cross multiply
    102,000.80x = 152,698.80 × 75,821.60
  4. Step 4: Simplify right side
    102,000.80x = 11,577,867,334.08
  5. Step 5: Solve for x
    x = 11,577,867,334.08/102,000.80
  6. Step 6: Final answer
    x = 113,507.61

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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.