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Finding the Fourth Proportional to 211,511, 317,275.14 and 53,743.52

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Solution

The fourth proportional to 211,511, 317,275.14 and 53,743.52 is: 80,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,511 : 317,275.14 = 53,743.52 : x
  2. Step 2: Convert to fraction form
    211,511/317,275.14 = 53,743.52/x
  3. Step 3: Cross multiply
    211,511x = 317,275.14 × 53,743.52
  4. Step 4: Simplify right side
    211,511x = 17,051,482,832.09
  5. Step 5: Solve for x
    x = 17,051,482,832.09/211,511
  6. Step 6: Final answer
    x = 80,617.48

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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.