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Finding the Fourth Proportional to 209,165.76, 288,584.64 and 118,507.32

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Solution

The fourth proportional to 209,165.76, 288,584.64 and 118,507.32 is: 163,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,165.76 : 288,584.64 = 118,507.32 : x
  2. Step 2: Convert to fraction form
    209,165.76/288,584.64 = 118,507.32/x
  3. Step 3: Cross multiply
    209,165.76x = 288,584.64 × 118,507.32
  4. Step 4: Simplify right side
    209,165.76x = 34,199,392,279.56
  5. Step 5: Solve for x
    x = 34,199,392,279.56/209,165.76
  6. Step 6: Final answer
    x = 163,503.78

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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.