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Finding the Fourth Proportional to 226,647.66, 312,784.83 and 126,043.50

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Solution

The fourth proportional to 226,647.66, 312,784.83 and 126,043.50 is: 173,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,647.66 : 312,784.83 = 126,043.50 : x
  2. Step 2: Convert to fraction form
    226,647.66/312,784.83 = 126,043.50/x
  3. Step 3: Cross multiply
    226,647.66x = 312,784.83 × 126,043.50
  4. Step 4: Simplify right side
    226,647.66x = 39,424,494,720.11
  5. Step 5: Solve for x
    x = 39,424,494,720.11/226,647.66
  6. Step 6: Final answer
    x = 173,946.18

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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.