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Finding the Fourth Proportional to 338,822.84, 508,238.21 and 102,167.57

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Solution

The fourth proportional to 338,822.84, 508,238.21 and 102,167.57 is: 153,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,822.84 : 508,238.21 = 102,167.57 : x
  2. Step 2: Convert to fraction form
    338,822.84/508,238.21 = 102,167.57/x
  3. Step 3: Cross multiply
    338,822.84x = 508,238.21 × 102,167.57
  4. Step 4: Simplify right side
    338,822.84x = 51,925,464,422.86
  5. Step 5: Solve for x
    x = 51,925,464,422.86/338,822.84
  6. Step 6: Final answer
    x = 153,252.55

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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.