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Finding the Fourth Proportional to 265,175.89, 397,726.47 and 138,774.58

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Solution

The fourth proportional to 265,175.89, 397,726.47 and 138,774.58 is: 208,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,175.89 : 397,726.47 = 138,774.58 : x
  2. Step 2: Convert to fraction form
    265,175.89/397,726.47 = 138,774.58/x
  3. Step 3: Cross multiply
    265,175.89x = 397,726.47 × 138,774.58
  4. Step 4: Simplify right side
    265,175.89x = 55,194,322,834.82
  5. Step 5: Solve for x
    x = 55,194,322,834.82/265,175.89
  6. Step 6: Final answer
    x = 208,142.31

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