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Finding the Fourth Proportional to 209,191.32, 288,682.28 and 113,698.60

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Solution

The fourth proportional to 209,191.32, 288,682.28 and 113,698.60 is: 156,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,191.32 : 288,682.28 = 113,698.60 : x
  2. Step 2: Convert to fraction form
    209,191.32/288,682.28 = 113,698.60/x
  3. Step 3: Cross multiply
    209,191.32x = 288,682.28 × 113,698.60
  4. Step 4: Simplify right side
    209,191.32x = 32,822,771,080.81
  5. Step 5: Solve for x
    x = 32,822,771,080.81/209,191.32
  6. Step 6: Final answer
    x = 156,903.12

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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.