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Finding the Fourth Proportional to 123,496.16, 170,431.36 and 69,783.44

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Solution

The fourth proportional to 123,496.16, 170,431.36 and 69,783.44 is: 96,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,496.16 : 170,431.36 = 69,783.44 : x
  2. Step 2: Convert to fraction form
    123,496.16/170,431.36 = 69,783.44/x
  3. Step 3: Cross multiply
    123,496.16x = 170,431.36 × 69,783.44
  4. Step 4: Simplify right side
    123,496.16x = 11,893,286,584.68
  5. Step 5: Solve for x
    x = 11,893,286,584.68/123,496.16
  6. Step 6: Final answer
    x = 96,304.91

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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.