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Finding the Fourth Proportional to 211,646.44, 317,227.74 and 86,833

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Solution

The fourth proportional to 211,646.44, 317,227.74 and 86,833 is: 130,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,646.44 : 317,227.74 = 86,833 : x
  2. Step 2: Convert to fraction form
    211,646.44/317,227.74 = 86,833/x
  3. Step 3: Cross multiply
    211,646.44x = 317,227.74 × 86,833
  4. Step 4: Simplify right side
    211,646.44x = 27,545,836,347.42
  5. Step 5: Solve for x
    x = 27,545,836,347.42/211,646.44
  6. Step 6: Final answer
    x = 130,150.25

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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.