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Finding the Fourth Proportional to 211,402.21, 317,103.32 and 182,854.33

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Solution

The fourth proportional to 211,402.21, 317,103.32 and 182,854.33 is: 274,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,402.21 : 317,103.32 = 182,854.33 : x
  2. Step 2: Convert to fraction form
    211,402.21/317,103.32 = 182,854.33/x
  3. Step 3: Cross multiply
    211,402.21x = 317,103.32 × 182,854.33
  4. Step 4: Simplify right side
    211,402.21x = 57,983,715,119.38
  5. Step 5: Solve for x
    x = 57,983,715,119.38/211,402.21
  6. Step 6: Final answer
    x = 274,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.