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Finding the Fourth Proportional to 106,420.42, 146,861.28 and 58,675.48

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Solution

The fourth proportional to 106,420.42, 146,861.28 and 58,675.48 is: 80,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420.42 : 146,861.28 = 58,675.48 : x
  2. Step 2: Convert to fraction form
    106,420.42/146,861.28 = 58,675.48/x
  3. Step 3: Cross multiply
    106,420.42x = 146,861.28 × 58,675.48
  4. Step 4: Simplify right side
    106,420.42x = 8,617,156,097.41
  5. Step 5: Solve for x
    x = 8,617,156,097.41/106,420.42
  6. Step 6: Final answer
    x = 80,972.77

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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.