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Finding the Fourth Proportional to 211,462.90, 317,260.09 and 69,309.42

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Solution

The fourth proportional to 211,462.90, 317,260.09 and 69,309.42 is: 103,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,462.90 : 317,260.09 = 69,309.42 : x
  2. Step 2: Convert to fraction form
    211,462.90/317,260.09 = 69,309.42/x
  3. Step 3: Cross multiply
    211,462.90x = 317,260.09 × 69,309.42
  4. Step 4: Simplify right side
    211,462.90x = 21,989,113,508.55
  5. Step 5: Solve for x
    x = 21,989,113,508.55/211,462.90
  6. Step 6: Final answer
    x = 103,985.68

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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.