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Finding the Fourth Proportional to 280,019.65, 419,954.14 and 102,527.59

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Solution

The fourth proportional to 280,019.65, 419,954.14 and 102,527.59 is: 153,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,019.65 : 419,954.14 = 102,527.59 : x
  2. Step 2: Convert to fraction form
    280,019.65/419,954.14 = 102,527.59/x
  3. Step 3: Cross multiply
    280,019.65x = 419,954.14 × 102,527.59
  4. Step 4: Simplify right side
    280,019.65x = 43,056,885,884.72
  5. Step 5: Solve for x
    x = 43,056,885,884.72/280,019.65
  6. Step 6: Final answer
    x = 153,763.80

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1.5x scale

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.