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Finding the Fourth Proportional to 281,888.93, 422,895.59 and 82,224.95

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Solution

The fourth proportional to 281,888.93, 422,895.59 and 82,224.95 is: 123,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,888.93 : 422,895.59 = 82,224.95 : x
  2. Step 2: Convert to fraction form
    281,888.93/422,895.59 = 82,224.95/x
  3. Step 3: Cross multiply
    281,888.93x = 422,895.59 × 82,224.95
  4. Step 4: Simplify right side
    281,888.93x = 34,772,566,525.71
  5. Step 5: Solve for x
    x = 34,772,566,525.71/281,888.93
  6. Step 6: Final answer
    x = 123,355.56

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Why These Related Problems?

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