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Finding the Fourth Proportional to 106,416.37, 146,855.61 and 58,671.43

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Solution

The fourth proportional to 106,416.37, 146,855.61 and 58,671.43 is: 80,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,416.37 : 146,855.61 = 58,671.43 : x
  2. Step 2: Convert to fraction form
    106,416.37/146,855.61 = 58,671.43/x
  3. Step 3: Cross multiply
    106,416.37x = 146,855.61 × 58,671.43
  4. Step 4: Simplify right side
    106,416.37x = 8,616,228,642.22
  5. Step 5: Solve for x
    x = 8,616,228,642.22/106,416.37
  6. Step 6: Final answer
    x = 80,967.14

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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.