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Finding the Fourth Proportional to 105,892.74, 146,130.90 and 58,145.64

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Solution

The fourth proportional to 105,892.74, 146,130.90 and 58,145.64 is: 80,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892.74 : 146,130.90 = 58,145.64 : x
  2. Step 2: Convert to fraction form
    105,892.74/146,130.90 = 58,145.64/x
  3. Step 3: Cross multiply
    105,892.74x = 146,130.90 × 58,145.64
  4. Step 4: Simplify right side
    105,892.74x = 8,496,874,704.28
  5. Step 5: Solve for x
    x = 8,496,874,704.28/105,892.74
  6. Step 6: Final answer
    x = 80,240.39

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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.