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Finding the Fourth Proportional to 209,076.60, 288,528.84 and 113,585.16

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Solution

The fourth proportional to 209,076.60, 288,528.84 and 113,585.16 is: 156,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,076.60 : 288,528.84 = 113,585.16 : x
  2. Step 2: Convert to fraction form
    209,076.60/288,528.84 = 113,585.16/x
  3. Step 3: Cross multiply
    209,076.60x = 288,528.84 × 113,585.16
  4. Step 4: Simplify right side
    209,076.60x = 32,772,594,456.01
  5. Step 5: Solve for x
    x = 32,772,594,456.01/209,076.60
  6. Step 6: Final answer
    x = 156,749.22

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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.