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Finding the Fourth Proportional to 209,018.68, 288,447.86 and 113,527.24

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Solution

The fourth proportional to 209,018.68, 288,447.86 and 113,527.24 is: 156,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,018.68 : 288,447.86 = 113,527.24 : x
  2. Step 2: Convert to fraction form
    209,018.68/288,447.86 = 113,527.24/x
  3. Step 3: Cross multiply
    209,018.68x = 288,447.86 × 113,527.24
  4. Step 4: Simplify right side
    209,018.68x = 32,746,689,429.71
  5. Step 5: Solve for x
    x = 32,746,689,429.71/209,018.68
  6. Step 6: Final answer
    x = 156,668.72

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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.