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Finding the Fourth Proportional to 157,369.62, 236,124.21 and 82,471.96

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Solution

The fourth proportional to 157,369.62, 236,124.21 and 82,471.96 is: 123,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,369.62 : 236,124.21 = 82,471.96 : x
  2. Step 2: Convert to fraction form
    157,369.62/236,124.21 = 82,471.96/x
  3. Step 3: Cross multiply
    157,369.62x = 236,124.21 × 82,471.96
  4. Step 4: Simplify right side
    157,369.62x = 19,473,626,402.15
  5. Step 5: Solve for x
    x = 19,473,626,402.15/157,369.62
  6. Step 6: Final answer
    x = 123,744.51

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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.