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Finding the Fourth Proportional to 243,145.56, 335,596.86 and 142,575.96

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Solution

The fourth proportional to 243,145.56, 335,596.86 and 142,575.96 is: 196,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,145.56 : 335,596.86 = 142,575.96 : x
  2. Step 2: Convert to fraction form
    243,145.56/335,596.86 = 142,575.96/x
  3. Step 3: Cross multiply
    243,145.56x = 335,596.86 × 142,575.96
  4. Step 4: Simplify right side
    243,145.56x = 47,848,044,487.49
  5. Step 5: Solve for x
    x = 47,848,044,487.49/243,145.56
  6. Step 6: Final answer
    x = 196,787.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.