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Finding the Fourth Proportional to 209,213.28, 288,713.16 and 118,586.38

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Solution

The fourth proportional to 209,213.28, 288,713.16 and 118,586.38 is: 163,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213.28 : 288,713.16 = 118,586.38 : x
  2. Step 2: Convert to fraction form
    209,213.28/288,713.16 = 118,586.38/x
  3. Step 3: Cross multiply
    209,213.28x = 288,713.16 × 118,586.38
  4. Step 4: Simplify right side
    209,213.28x = 34,237,448,322.32
  5. Step 5: Solve for x
    x = 34,237,448,322.32/209,213.28
  6. Step 6: Final answer
    x = 163,648.54

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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.