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Finding the Fourth Proportional to 211,514.40, 317,189.28 and 106,260

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Solution

The fourth proportional to 211,514.40, 317,189.28 and 106,260 is: 159,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,514.40 : 317,189.28 = 106,260 : x
  2. Step 2: Convert to fraction form
    211,514.40/317,189.28 = 106,260/x
  3. Step 3: Cross multiply
    211,514.40x = 317,189.28 × 106,260
  4. Step 4: Simplify right side
    211,514.40x = 33,704,532,892.80
  5. Step 5: Solve for x
    x = 33,704,532,892.80/211,514.40
  6. Step 6: Final answer
    x = 159,348.64

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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.