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Finding the Fourth Proportional to 135,859.89, 203,724.30 and 56,952.93

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Solution

The fourth proportional to 135,859.89, 203,724.30 and 56,952.93 is: 85,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,859.89 : 203,724.30 = 56,952.93 : x
  2. Step 2: Convert to fraction form
    135,859.89/203,724.30 = 56,952.93/x
  3. Step 3: Cross multiply
    135,859.89x = 203,724.30 × 56,952.93
  4. Step 4: Simplify right side
    135,859.89x = 11,602,695,797.20
  5. Step 5: Solve for x
    x = 11,602,695,797.20/135,859.89
  6. Step 6: Final answer
    x = 85,401.92

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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.