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Finding the Fourth Proportional to 118,107.64, 162,947.86 and 82,284.58

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Solution

The fourth proportional to 118,107.64, 162,947.86 and 82,284.58 is: 113,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,107.64 : 162,947.86 = 82,284.58 : x
  2. Step 2: Convert to fraction form
    118,107.64/162,947.86 = 82,284.58/x
  3. Step 3: Cross multiply
    118,107.64x = 162,947.86 × 82,284.58
  4. Step 4: Simplify right side
    118,107.64x = 13,408,096,222.00
  5. Step 5: Solve for x
    x = 13,408,096,222.00/118,107.64
  6. Step 6: Final answer
    x = 113,524.38

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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.