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Finding the Fourth Proportional to 207,578.80, 286,485.96 and 116,952.25

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Solution

The fourth proportional to 207,578.80, 286,485.96 and 116,952.25 is: 161,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,578.80 : 286,485.96 = 116,952.25 : x
  2. Step 2: Convert to fraction form
    207,578.80/286,485.96 = 116,952.25/x
  3. Step 3: Cross multiply
    207,578.80x = 286,485.96 × 116,952.25
  4. Step 4: Simplify right side
    207,578.80x = 33,505,177,615.41
  5. Step 5: Solve for x
    x = 33,505,177,615.41/207,578.80
  6. Step 6: Final answer
    x = 161,409.44

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1.5x scale

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.