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Finding the Fourth Proportional to 105,900.76, 146,045.54 and 71,960.14

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Solution

The fourth proportional to 105,900.76, 146,045.54 and 71,960.14 is: 99,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,900.76 : 146,045.54 = 71,960.14 : x
  2. Step 2: Convert to fraction form
    105,900.76/146,045.54 = 71,960.14/x
  3. Step 3: Cross multiply
    105,900.76x = 146,045.54 × 71,960.14
  4. Step 4: Simplify right side
    105,900.76x = 10,509,457,504.78
  5. Step 5: Solve for x
    x = 10,509,457,504.78/105,900.76
  6. Step 6: Final answer
    x = 99,238.74

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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.