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Finding the Fourth Proportional to 211,591.64, 317,389.57 and 53,820.12

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Solution

The fourth proportional to 211,591.64, 317,389.57 and 53,820.12 is: 80,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,591.64 : 317,389.57 = 53,820.12 : x
  2. Step 2: Convert to fraction form
    211,591.64/317,389.57 = 53,820.12/x
  3. Step 3: Cross multiply
    211,591.64x = 317,389.57 × 53,820.12
  4. Step 4: Simplify right side
    211,591.64x = 17,081,944,744.15
  5. Step 5: Solve for x
    x = 17,081,944,744.15/211,591.64
  6. Step 6: Final answer
    x = 80,730.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.