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Finding the Fourth Proportional to 338,842.71, 508,265.82 and 114,205.09

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Solution

The fourth proportional to 338,842.71, 508,265.82 and 114,205.09 is: 171,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,842.71 : 508,265.82 = 114,205.09 : x
  2. Step 2: Convert to fraction form
    338,842.71/508,265.82 = 114,205.09/x
  3. Step 3: Cross multiply
    338,842.71x = 508,265.82 × 114,205.09
  4. Step 4: Simplify right side
    338,842.71x = 58,046,543,717.02
  5. Step 5: Solve for x
    x = 58,046,543,717.02/338,842.71
  6. Step 6: Final answer
    x = 171,308.23

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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.