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Finding the Fourth Proportional to 136,846.59, 188,849.21 and 76,417.95

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Solution

The fourth proportional to 136,846.59, 188,849.21 and 76,417.95 is: 105,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,846.59 : 188,849.21 = 76,417.95 : x
  2. Step 2: Convert to fraction form
    136,846.59/188,849.21 = 76,417.95/x
  3. Step 3: Cross multiply
    136,846.59x = 188,849.21 × 76,417.95
  4. Step 4: Simplify right side
    136,846.59x = 14,431,469,487.32
  5. Step 5: Solve for x
    x = 14,431,469,487.32/136,846.59
  6. Step 6: Final answer
    x = 105,457.28

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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.