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Finding the Fourth Proportional to 106,106.56, 146,427 and 58,363.12

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Solution

The fourth proportional to 106,106.56, 146,427 and 58,363.12 is: 80,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,106.56 : 146,427 = 58,363.12 : x
  2. Step 2: Convert to fraction form
    106,106.56/146,427 = 58,363.12/x
  3. Step 3: Cross multiply
    106,106.56x = 146,427 × 58,363.12
  4. Step 4: Simplify right side
    106,106.56x = 8,545,936,572.24
  5. Step 5: Solve for x
    x = 8,545,936,572.24/106,106.56
  6. Step 6: Final answer
    x = 80,541.08

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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.