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Finding the Fourth Proportional to 226,740.56, 312,771.72 and 141,710

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Solution

The fourth proportional to 226,740.56, 312,771.72 and 141,710 is: 195,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,740.56 : 312,771.72 = 141,710 : x
  2. Step 2: Convert to fraction form
    226,740.56/312,771.72 = 141,710/x
  3. Step 3: Cross multiply
    226,740.56x = 312,771.72 × 141,710
  4. Step 4: Simplify right side
    226,740.56x = 44,322,880,441.20
  5. Step 5: Solve for x
    x = 44,322,880,441.20/226,740.56
  6. Step 6: Final answer
    x = 195,478.39

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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.