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Finding the Fourth Proportional to 106,742.97, 147,305.33 and 58,996.32

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Solution

The fourth proportional to 106,742.97, 147,305.33 and 58,996.32 is: 81,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,742.97 : 147,305.33 = 58,996.32 : x
  2. Step 2: Convert to fraction form
    106,742.97/147,305.33 = 58,996.32/x
  3. Step 3: Cross multiply
    106,742.97x = 147,305.33 × 58,996.32
  4. Step 4: Simplify right side
    106,742.97x = 8,690,472,029.49
  5. Step 5: Solve for x
    x = 8,690,472,029.49/106,742.97
  6. Step 6: Final answer
    x = 81,414.94

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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.