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Finding the Fourth Proportional to 106,546.70, 147,034.14 and 58,799.70

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Solution

The fourth proportional to 106,546.70, 147,034.14 and 58,799.70 is: 81,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546.70 : 147,034.14 = 58,799.70 : x
  2. Step 2: Convert to fraction form
    106,546.70/147,034.14 = 58,799.70/x
  3. Step 3: Cross multiply
    106,546.70x = 147,034.14 × 58,799.70
  4. Step 4: Simplify right side
    106,546.70x = 8,645,563,321.76
  5. Step 5: Solve for x
    x = 8,645,563,321.76/106,546.70
  6. Step 6: Final answer
    x = 81,143.42

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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.