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Finding the Fourth Proportional to 136,616, 188,564.64 and 77,034.56

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Solution

The fourth proportional to 136,616, 188,564.64 and 77,034.56 is: 106,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,616 : 188,564.64 = 77,034.56 : x
  2. Step 2: Convert to fraction form
    136,616/188,564.64 = 77,034.56/x
  3. Step 3: Cross multiply
    136,616x = 188,564.64 × 77,034.56
  4. Step 4: Simplify right side
    136,616x = 14,525,994,073.96
  5. Step 5: Solve for x
    x = 14,525,994,073.96/136,616
  6. Step 6: Final answer
    x = 106,327.18

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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.