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Finding the Fourth Proportional to 136,944.95, 205,405.83 and 46,980.27

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Solution

The fourth proportional to 136,944.95, 205,405.83 and 46,980.27 is: 70,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,944.95 : 205,405.83 = 46,980.27 : x
  2. Step 2: Convert to fraction form
    136,944.95/205,405.83 = 46,980.27/x
  3. Step 3: Cross multiply
    136,944.95x = 205,405.83 × 46,980.27
  4. Step 4: Simplify right side
    136,944.95x = 9,650,021,352.97
  5. Step 5: Solve for x
    x = 9,650,021,352.97/136,944.95
  6. Step 6: Final answer
    x = 70,466.43

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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.