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Finding the Fourth Proportional to 106,598.38, 147,101.90 and 58,199.42

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Solution

The fourth proportional to 106,598.38, 147,101.90 and 58,199.42 is: 80,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598.38 : 147,101.90 = 58,199.42 : x
  2. Step 2: Convert to fraction form
    106,598.38/147,101.90 = 58,199.42/x
  3. Step 3: Cross multiply
    106,598.38x = 147,101.90 × 58,199.42
  4. Step 4: Simplify right side
    106,598.38x = 8,561,244,525.39
  5. Step 5: Solve for x
    x = 8,561,244,525.39/106,598.38
  6. Step 6: Final answer
    x = 80,313.09

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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.