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Finding the Fourth Proportional to 106,034.37, 146,327.58 and 58,288

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Solution

The fourth proportional to 106,034.37, 146,327.58 and 58,288 is: 80,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,034.37 : 146,327.58 = 58,288 : x
  2. Step 2: Convert to fraction form
    106,034.37/146,327.58 = 58,288/x
  3. Step 3: Cross multiply
    106,034.37x = 146,327.58 × 58,288
  4. Step 4: Simplify right side
    106,034.37x = 8,529,141,983.04
  5. Step 5: Solve for x
    x = 8,529,141,983.04/106,034.37
  6. Step 6: Final answer
    x = 80,437.52

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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.