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Finding the Fourth Proportional to 150,720.63, 207,981.42 and 82,737.36

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Solution

The fourth proportional to 150,720.63, 207,981.42 and 82,737.36 is: 114,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,720.63 : 207,981.42 = 82,737.36 : x
  2. Step 2: Convert to fraction form
    150,720.63/207,981.42 = 82,737.36/x
  3. Step 3: Cross multiply
    150,720.63x = 207,981.42 × 82,737.36
  4. Step 4: Simplify right side
    150,720.63x = 17,207,833,619.85
  5. Step 5: Solve for x
    x = 17,207,833,619.85/150,720.63
  6. Step 6: Final answer
    x = 114,170.39

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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.