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Finding the Fourth Proportional to 226,173.57, 312,076.13 and 144,544.50

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Solution

The fourth proportional to 226,173.57, 312,076.13 and 144,544.50 is: 199,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,173.57 : 312,076.13 = 144,544.50 : x
  2. Step 2: Convert to fraction form
    226,173.57/312,076.13 = 144,544.50/x
  3. Step 3: Cross multiply
    226,173.57x = 312,076.13 × 144,544.50
  4. Step 4: Simplify right side
    226,173.57x = 45,108,887,450.06
  5. Step 5: Solve for x
    x = 45,108,887,450.06/226,173.57
  6. Step 6: Final answer
    x = 199,443.68

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1.5x scale

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.