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Finding the Fourth Proportional to 209,527.12, 289,137.90 and 114,033.52

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Solution

The fourth proportional to 209,527.12, 289,137.90 and 114,033.52 is: 157,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,527.12 : 289,137.90 = 114,033.52 : x
  2. Step 2: Convert to fraction form
    209,527.12/289,137.90 = 114,033.52/x
  3. Step 3: Cross multiply
    209,527.12x = 289,137.90 × 114,033.52
  4. Step 4: Simplify right side
    209,527.12x = 32,971,412,502.41
  5. Step 5: Solve for x
    x = 32,971,412,502.41/209,527.12
  6. Step 6: Final answer
    x = 157,361.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.