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Finding the Fourth Proportional to 224,896.32, 310,375.20 and 124,296

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Solution

The fourth proportional to 224,896.32, 310,375.20 and 124,296 is: 171,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,896.32 : 310,375.20 = 124,296 : x
  2. Step 2: Convert to fraction form
    224,896.32/310,375.20 = 124,296/x
  3. Step 3: Cross multiply
    224,896.32x = 310,375.20 × 124,296
  4. Step 4: Simplify right side
    224,896.32x = 38,578,395,859.20
  5. Step 5: Solve for x
    x = 38,578,395,859.20/224,896.32
  6. Step 6: Final answer
    x = 171,538.58

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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.