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Finding the Fourth Proportional to 105,965.31, 146,224.76 and 58,220.67

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Solution

The fourth proportional to 105,965.31, 146,224.76 and 58,220.67 is: 80,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,965.31 : 146,224.76 = 58,220.67 : x
  2. Step 2: Convert to fraction form
    105,965.31/146,224.76 = 58,220.67/x
  3. Step 3: Cross multiply
    105,965.31x = 146,224.76 × 58,220.67
  4. Step 4: Simplify right side
    105,965.31x = 8,513,303,206.69
  5. Step 5: Solve for x
    x = 8,513,303,206.69/105,965.31
  6. Step 6: Final answer
    x = 80,340.47

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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.