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Finding the Fourth Proportional to 106,143.39, 146,476.80 and 58,396.77

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Solution

The fourth proportional to 106,143.39, 146,476.80 and 58,396.77 is: 80,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,143.39 : 146,476.80 = 58,396.77 : x
  2. Step 2: Convert to fraction form
    106,143.39/146,476.80 = 58,396.77/x
  3. Step 3: Cross multiply
    106,143.39x = 146,476.80 × 58,396.77
  4. Step 4: Simplify right side
    106,143.39x = 8,553,771,999.94
  5. Step 5: Solve for x
    x = 8,553,771,999.94/106,143.39
  6. Step 6: Final answer
    x = 80,586.95

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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.