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Finding the Fourth Proportional to 106,034.85, 146,330.10 and 58,288.20

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Solution

The fourth proportional to 106,034.85, 146,330.10 and 58,288.20 is: 80,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,034.85 : 146,330.10 = 58,288.20 : x
  2. Step 2: Convert to fraction form
    106,034.85/146,330.10 = 58,288.20/x
  3. Step 3: Cross multiply
    106,034.85x = 146,330.10 × 58,288.20
  4. Step 4: Simplify right side
    106,034.85x = 8,529,318,134.82
  5. Step 5: Solve for x
    x = 8,529,318,134.82/106,034.85
  6. Step 6: Final answer
    x = 80,438.82

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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.