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Finding the Fourth Proportional to 224,442.12, 309,729.46 and 123,840.20

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Solution

The fourth proportional to 224,442.12, 309,729.46 and 123,840.20 is: 170,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,442.12 : 309,729.46 = 123,840.20 : x
  2. Step 2: Convert to fraction form
    224,442.12/309,729.46 = 123,840.20/x
  3. Step 3: Cross multiply
    224,442.12x = 309,729.46 × 123,840.20
  4. Step 4: Simplify right side
    224,442.12x = 38,356,958,272.29
  5. Step 5: Solve for x
    x = 38,356,958,272.29/224,442.12
  6. Step 6: Final answer
    x = 170,899.11

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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.