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Finding the Fourth Proportional to 225,723.84, 338,537.16 and 92,475.60

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Solution

The fourth proportional to 225,723.84, 338,537.16 and 92,475.60 is: 138,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,723.84 : 338,537.16 = 92,475.60 : x
  2. Step 2: Convert to fraction form
    225,723.84/338,537.16 = 92,475.60/x
  3. Step 3: Cross multiply
    225,723.84x = 338,537.16 × 92,475.60
  4. Step 4: Simplify right side
    225,723.84x = 31,306,426,993.30
  5. Step 5: Solve for x
    x = 31,306,426,993.30/225,723.84
  6. Step 6: Final answer
    x = 138,693.49

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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.