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Finding the Fourth Proportional to 209,871.56, 289,614.30 and 114,376.19

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Solution

The fourth proportional to 209,871.56, 289,614.30 and 114,376.19 is: 157,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,871.56 : 289,614.30 = 114,376.19 : x
  2. Step 2: Convert to fraction form
    209,871.56/289,614.30 = 114,376.19/x
  3. Step 3: Cross multiply
    209,871.56x = 289,614.30 × 114,376.19
  4. Step 4: Simplify right side
    209,871.56x = 33,124,980,203.52
  5. Step 5: Solve for x
    x = 33,124,980,203.52/209,871.56
  6. Step 6: Final answer
    x = 157,834.54

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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.