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Finding the Fourth Proportional to 226,503.75, 312,318.37 and 144,723.96

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Solution

The fourth proportional to 226,503.75, 312,318.37 and 144,723.96 is: 199,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,503.75 : 312,318.37 = 144,723.96 : x
  2. Step 2: Convert to fraction form
    226,503.75/312,318.37 = 144,723.96/x
  3. Step 3: Cross multiply
    226,503.75x = 312,318.37 × 144,723.96
  4. Step 4: Simplify right side
    226,503.75x = 45,199,950,653.98
  5. Step 5: Solve for x
    x = 45,199,950,653.98/226,503.75
  6. Step 6: Final answer
    x = 199,554.98

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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.