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Finding the Fourth Proportional to 102,909.80, 154,134.30 and 84,477.80

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Solution

The fourth proportional to 102,909.80, 154,134.30 and 84,477.80 is: 126,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,909.80 : 154,134.30 = 84,477.80 : x
  2. Step 2: Convert to fraction form
    102,909.80/154,134.30 = 84,477.80/x
  3. Step 3: Cross multiply
    102,909.80x = 154,134.30 × 84,477.80
  4. Step 4: Simplify right side
    102,909.80x = 13,020,926,568.54
  5. Step 5: Solve for x
    x = 13,020,926,568.54/102,909.80
  6. Step 6: Final answer
    x = 126,527.57

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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.