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Finding the Fourth Proportional to 150,497.56, 207,686.64 and 83,429.56

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Solution

The fourth proportional to 150,497.56, 207,686.64 and 83,429.56 is: 115,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,497.56 : 207,686.64 = 83,429.56 : x
  2. Step 2: Convert to fraction form
    150,497.56/207,686.64 = 83,429.56/x
  3. Step 3: Cross multiply
    150,497.56x = 207,686.64 × 83,429.56
  4. Step 4: Simplify right side
    150,497.56x = 17,327,204,993.08
  5. Step 5: Solve for x
    x = 17,327,204,993.08/150,497.56
  6. Step 6: Final answer
    x = 115,132.80

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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.