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Finding the Fourth Proportional to 209,182.84, 288,674.20 and 113,689.64

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Solution

The fourth proportional to 209,182.84, 288,674.20 and 113,689.64 is: 156,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,182.84 : 288,674.20 = 113,689.64 : x
  2. Step 2: Convert to fraction form
    209,182.84/288,674.20 = 113,689.64/x
  3. Step 3: Cross multiply
    209,182.84x = 288,674.20 × 113,689.64
  4. Step 4: Simplify right side
    209,182.84x = 32,819,265,875.29
  5. Step 5: Solve for x
    x = 32,819,265,875.29/209,182.84
  6. Step 6: Final answer
    x = 156,892.73

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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.