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Finding the Fourth Proportional to 224,000.64, 309,130.56 and 127,202.54

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Solution

The fourth proportional to 224,000.64, 309,130.56 and 127,202.54 is: 175,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,000.64 : 309,130.56 = 127,202.54 : x
  2. Step 2: Convert to fraction form
    224,000.64/309,130.56 = 127,202.54/x
  3. Step 3: Cross multiply
    224,000.64x = 309,130.56 × 127,202.54
  4. Step 4: Simplify right side
    224,000.64x = 39,322,190,877.97
  5. Step 5: Solve for x
    x = 39,322,190,877.97/224,000.64
  6. Step 6: Final answer
    x = 175,544.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.