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Finding the Fourth Proportional to 150,700.88, 207,965.64 and 83,633.36

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Solution

The fourth proportional to 150,700.88, 207,965.64 and 83,633.36 is: 115,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,700.88 : 207,965.64 = 83,633.36 : x
  2. Step 2: Convert to fraction form
    150,700.88/207,965.64 = 83,633.36/x
  3. Step 3: Cross multiply
    150,700.88x = 207,965.64 × 83,633.36
  4. Step 4: Simplify right side
    150,700.88x = 17,392,865,237.75
  5. Step 5: Solve for x
    x = 17,392,865,237.75/150,700.88
  6. Step 6: Final answer
    x = 115,413.16

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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.