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Finding the Fourth Proportional to 211,557.30, 317,336.69 and 53,785.77

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Solution

The fourth proportional to 211,557.30, 317,336.69 and 53,785.77 is: 80,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,557.30 : 317,336.69 = 53,785.77 : x
  2. Step 2: Convert to fraction form
    211,557.30/317,336.69 = 53,785.77/x
  3. Step 3: Cross multiply
    211,557.30x = 317,336.69 × 53,785.77
  4. Step 4: Simplify right side
    211,557.30x = 17,068,198,220.90
  5. Step 5: Solve for x
    x = 17,068,198,220.90/211,557.30
  6. Step 6: Final answer
    x = 80,678.84

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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.