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Finding the Fourth Proportional to 102,759.20, 154,138.80 and 52,769.60

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Solution

The fourth proportional to 102,759.20, 154,138.80 and 52,769.60 is: 79,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,759.20 : 154,138.80 = 52,769.60 : x
  2. Step 2: Convert to fraction form
    102,759.20/154,138.80 = 52,769.60/x
  3. Step 3: Cross multiply
    102,759.20x = 154,138.80 × 52,769.60
  4. Step 4: Simplify right side
    102,759.20x = 8,133,842,820.48
  5. Step 5: Solve for x
    x = 8,133,842,820.48/102,759.20
  6. Step 6: Final answer
    x = 79,154.40

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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.