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Finding the Fourth Proportional to 202,892.48, 304,279.26 and 76,441.50

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Solution

The fourth proportional to 202,892.48, 304,279.26 and 76,441.50 is: 114,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,892.48 : 304,279.26 = 76,441.50 : x
  2. Step 2: Convert to fraction form
    202,892.48/304,279.26 = 76,441.50/x
  3. Step 3: Cross multiply
    202,892.48x = 304,279.26 × 76,441.50
  4. Step 4: Simplify right side
    202,892.48x = 23,259,563,053.29
  5. Step 5: Solve for x
    x = 23,259,563,053.29/202,892.48
  6. Step 6: Final answer
    x = 114,639.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.