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Finding the Fourth Proportional to 135,718.54, 203,591.76 and 46,971.90

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Solution

The fourth proportional to 135,718.54, 203,591.76 and 46,971.90 is: 70,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,718.54 : 203,591.76 = 46,971.90 : x
  2. Step 2: Convert to fraction form
    135,718.54/203,591.76 = 46,971.90/x
  3. Step 3: Cross multiply
    135,718.54x = 203,591.76 × 46,971.90
  4. Step 4: Simplify right side
    135,718.54x = 9,563,091,791.54
  5. Step 5: Solve for x
    x = 9,563,091,791.54/135,718.54
  6. Step 6: Final answer
    x = 70,462.68

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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.