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Finding the Fourth Proportional to 211,509, 317,272.14 and 53,741.52

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Solution

The fourth proportional to 211,509, 317,272.14 and 53,741.52 is: 80,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509 : 317,272.14 = 53,741.52 : x
  2. Step 2: Convert to fraction form
    211,509/317,272.14 = 53,741.52/x
  3. Step 3: Cross multiply
    211,509x = 317,272.14 × 53,741.52
  4. Step 4: Simplify right side
    211,509x = 17,050,687,057.25
  5. Step 5: Solve for x
    x = 17,050,687,057.25/211,509
  6. Step 6: Final answer
    x = 80,614.48

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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.