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Finding the Fourth Proportional to 102,808.80, 154,069.20 and 81,784.80

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Solution

The fourth proportional to 102,808.80, 154,069.20 and 81,784.80 is: 122,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,808.80 : 154,069.20 = 81,784.80 : x
  2. Step 2: Convert to fraction form
    102,808.80/154,069.20 = 81,784.80/x
  3. Step 3: Cross multiply
    102,808.80x = 154,069.20 × 81,784.80
  4. Step 4: Simplify right side
    102,808.80x = 12,600,518,708.16
  5. Step 5: Solve for x
    x = 12,600,518,708.16/102,808.80
  6. Step 6: Final answer
    x = 122,562.65

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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.