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Finding the Fourth Proportional to 226,716.52, 312,870.62 and 126,114.52

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Solution

The fourth proportional to 226,716.52, 312,870.62 and 126,114.52 is: 174,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,716.52 : 312,870.62 = 126,114.52 : x
  2. Step 2: Convert to fraction form
    226,716.52/312,870.62 = 126,114.52/x
  3. Step 3: Cross multiply
    226,716.52x = 312,870.62 × 126,114.52
  4. Step 4: Simplify right side
    226,716.52x = 39,457,528,063.40
  5. Step 5: Solve for x
    x = 39,457,528,063.40/226,716.52
  6. Step 6: Final answer
    x = 174,039.05

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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.