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Finding the Fourth Proportional to 150,558.84, 207,759.90 and 82,564.92

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Solution

The fourth proportional to 150,558.84, 207,759.90 and 82,564.92 is: 113,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,558.84 : 207,759.90 = 82,564.92 : x
  2. Step 2: Convert to fraction form
    150,558.84/207,759.90 = 82,564.92/x
  3. Step 3: Cross multiply
    150,558.84x = 207,759.90 × 82,564.92
  4. Step 4: Simplify right side
    150,558.84x = 17,153,679,522.71
  5. Step 5: Solve for x
    x = 17,153,679,522.71/150,558.84
  6. Step 6: Final answer
    x = 113,933.39

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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.