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Finding the Fourth Proportional to 233,603.25, 322,375.51 and 138,109.11

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Solution

The fourth proportional to 233,603.25, 322,375.51 and 138,109.11 is: 190,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,603.25 : 322,375.51 = 138,109.11 : x
  2. Step 2: Convert to fraction form
    233,603.25/322,375.51 = 138,109.11/x
  3. Step 3: Cross multiply
    233,603.25x = 322,375.51 × 138,109.11
  4. Step 4: Simplify right side
    233,603.25x = 44,522,994,771.90
  5. Step 5: Solve for x
    x = 44,522,994,771.90/233,603.25
  6. Step 6: Final answer
    x = 190,592.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.