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Finding the Fourth Proportional to 226,767.24, 312,873.86 and 146,241

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Solution

The fourth proportional to 226,767.24, 312,873.86 and 146,241 is: 201,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,767.24 : 312,873.86 = 146,241 : x
  2. Step 2: Convert to fraction form
    226,767.24/312,873.86 = 146,241/x
  3. Step 3: Cross multiply
    226,767.24x = 312,873.86 × 146,241
  4. Step 4: Simplify right side
    226,767.24x = 45,754,985,429.06
  5. Step 5: Solve for x
    x = 45,754,985,429.06/226,767.24
  6. Step 6: Final answer
    x = 201,770.70

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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.