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Finding the Fourth Proportional to 224,999.40, 310,577.30 and 129,544.14

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Solution

The fourth proportional to 224,999.40, 310,577.30 and 129,544.14 is: 178,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,999.40 : 310,577.30 = 129,544.14 : x
  2. Step 2: Convert to fraction form
    224,999.40/310,577.30 = 129,544.14/x
  3. Step 3: Cross multiply
    224,999.40x = 310,577.30 × 129,544.14
  4. Step 4: Simplify right side
    224,999.40x = 40,233,469,232.02
  5. Step 5: Solve for x
    x = 40,233,469,232.02/224,999.40
  6. Step 6: Final answer
    x = 178,815.90

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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.