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Finding the Fourth Proportional to 106,145.19, 146,478.28 and 58,399.34

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Solution

The fourth proportional to 106,145.19, 146,478.28 and 58,399.34 is: 80,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,145.19 : 146,478.28 = 58,399.34 : x
  2. Step 2: Convert to fraction form
    106,145.19/146,478.28 = 58,399.34/x
  3. Step 3: Cross multiply
    106,145.19x = 146,478.28 × 58,399.34
  4. Step 4: Simplify right side
    106,145.19x = 8,554,234,143.94
  5. Step 5: Solve for x
    x = 8,554,234,143.94/106,145.19
  6. Step 6: Final answer
    x = 80,589.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.