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Finding the Fourth Proportional to 282,024.99, 422,848.25 and 111,090.49

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Solution

The fourth proportional to 282,024.99, 422,848.25 and 111,090.49 is: 166,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,024.99 : 422,848.25 = 111,090.49 : x
  2. Step 2: Convert to fraction form
    282,024.99/422,848.25 = 111,090.49/x
  3. Step 3: Cross multiply
    282,024.99x = 422,848.25 × 111,090.49
  4. Step 4: Simplify right side
    282,024.99x = 46,974,418,092.16
  5. Step 5: Solve for x
    x = 46,974,418,092.16/282,024.99
  6. Step 6: Final answer
    x = 166,561.19

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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.