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Finding the Fourth Proportional to 224,209.08, 309,406.50 and 123,607.08

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Solution

The fourth proportional to 224,209.08, 309,406.50 and 123,607.08 is: 170,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,209.08 : 309,406.50 = 123,607.08 : x
  2. Step 2: Convert to fraction form
    224,209.08/309,406.50 = 123,607.08/x
  3. Step 3: Cross multiply
    224,209.08x = 309,406.50 × 123,607.08
  4. Step 4: Simplify right side
    224,209.08x = 38,244,833,998.02
  5. Step 5: Solve for x
    x = 38,244,833,998.02/224,209.08
  6. Step 6: Final answer
    x = 170,576.65

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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.