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Finding the Fourth Proportional to 154,405, 213,078.90 and 83,749

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Solution

The fourth proportional to 154,405, 213,078.90 and 83,749 is: 115,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,405 : 213,078.90 = 83,749 : x
  2. Step 2: Convert to fraction form
    154,405/213,078.90 = 83,749/x
  3. Step 3: Cross multiply
    154,405x = 213,078.90 × 83,749
  4. Step 4: Simplify right side
    154,405x = 17,845,144,796.10
  5. Step 5: Solve for x
    x = 17,845,144,796.10/154,405
  6. Step 6: Final answer
    x = 115,573.62

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