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Finding the Fourth Proportional to 209,302.94, 288,832 and 118,667.31

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Solution

The fourth proportional to 209,302.94, 288,832 and 118,667.31 is: 163,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,302.94 : 288,832 = 118,667.31 : x
  2. Step 2: Convert to fraction form
    209,302.94/288,832 = 118,667.31/x
  3. Step 3: Cross multiply
    209,302.94x = 288,832 × 118,667.31
  4. Step 4: Simplify right side
    209,302.94x = 34,274,916,481.92
  5. Step 5: Solve for x
    x = 34,274,916,481.92/209,302.94
  6. Step 6: Final answer
    x = 163,757.45

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