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Finding the Fourth Proportional to 285,278.68, 427,998.01 and 114,620.23

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Solution

The fourth proportional to 285,278.68, 427,998.01 and 114,620.23 is: 171,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,278.68 : 427,998.01 = 114,620.23 : x
  2. Step 2: Convert to fraction form
    285,278.68/427,998.01 = 114,620.23/x
  3. Step 3: Cross multiply
    285,278.68x = 427,998.01 × 114,620.23
  4. Step 4: Simplify right side
    285,278.68x = 49,057,230,809.10
  5. Step 5: Solve for x
    x = 49,057,230,809.10/285,278.68
  6. Step 6: Final answer
    x = 171,962.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.