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Finding the Fourth Proportional to 106,749.38, 147,314.00 and 58,351.61

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Solution

The fourth proportional to 106,749.38, 147,314.00 and 58,351.61 is: 80,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,749.38 : 147,314.00 = 58,351.61 : x
  2. Step 2: Convert to fraction form
    106,749.38/147,314.00 = 58,351.61/x
  3. Step 3: Cross multiply
    106,749.38x = 147,314.00 × 58,351.61
  4. Step 4: Simplify right side
    106,749.38x = 8,596,008,047.21
  5. Step 5: Solve for x
    x = 8,596,008,047.21/106,749.38
  6. Step 6: Final answer
    x = 80,525.14

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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.