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Finding the Fourth Proportional to 207,797.12, 286,745.64 and 117,156.32

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Solution

The fourth proportional to 207,797.12, 286,745.64 and 117,156.32 is: 161,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,797.12 : 286,745.64 = 117,156.32 : x
  2. Step 2: Convert to fraction form
    207,797.12/286,745.64 = 117,156.32/x
  3. Step 3: Cross multiply
    207,797.12x = 286,745.64 × 117,156.32
  4. Step 4: Simplify right side
    207,797.12x = 33,594,063,958.44
  5. Step 5: Solve for x
    x = 33,594,063,958.44/207,797.12
  6. Step 6: Final answer
    x = 161,667.61

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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.