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Finding the Fourth Proportional to 224,415.72, 309,672.12 and 123,807.24

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Solution

The fourth proportional to 224,415.72, 309,672.12 and 123,807.24 is: 170,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,415.72 : 309,672.12 = 123,807.24 : x
  2. Step 2: Convert to fraction form
    224,415.72/309,672.12 = 123,807.24/x
  3. Step 3: Cross multiply
    224,415.72x = 309,672.12 × 123,807.24
  4. Step 4: Simplify right side
    224,415.72x = 38,339,650,482.15
  5. Step 5: Solve for x
    x = 38,339,650,482.15/224,415.72
  6. Step 6: Final answer
    x = 170,842.09

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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.