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Finding the Fourth Proportional to 136,612, 188,559.12 and 77,030.56

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Solution

The fourth proportional to 136,612, 188,559.12 and 77,030.56 is: 106,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,612 : 188,559.12 = 77,030.56 : x
  2. Step 2: Convert to fraction form
    136,612/188,559.12 = 77,030.56/x
  3. Step 3: Cross multiply
    136,612x = 188,559.12 × 77,030.56
  4. Step 4: Simplify right side
    136,612x = 14,524,814,606.71
  5. Step 5: Solve for x
    x = 14,524,814,606.71/136,612
  6. Step 6: Final answer
    x = 106,321.66

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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.