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Finding the Fourth Proportional to 229,083.31, 343,542.63 and 79,282.93

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Solution

The fourth proportional to 229,083.31, 343,542.63 and 79,282.93 is: 118,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,083.31 : 343,542.63 = 79,282.93 : x
  2. Step 2: Convert to fraction form
    229,083.31/343,542.63 = 79,282.93/x
  3. Step 3: Cross multiply
    229,083.31x = 343,542.63 × 79,282.93
  4. Step 4: Simplify right side
    229,083.31x = 27,237,066,286.31
  5. Step 5: Solve for x
    x = 27,237,066,286.31/229,083.31
  6. Step 6: Final answer
    x = 118,895.90

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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.