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Finding the Fourth Proportional to 338,726.97, 508,090.20 and 102,069.66

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Solution

The fourth proportional to 338,726.97, 508,090.20 and 102,069.66 is: 153,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,726.97 : 508,090.20 = 102,069.66 : x
  2. Step 2: Convert to fraction form
    338,726.97/508,090.20 = 102,069.66/x
  3. Step 3: Cross multiply
    338,726.97x = 508,090.20 × 102,069.66
  4. Step 4: Simplify right side
    338,726.97x = 51,860,590,912.53
  5. Step 5: Solve for x
    x = 51,860,590,912.53/338,726.97
  6. Step 6: Final answer
    x = 153,104.40

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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.