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Finding the Fourth Proportional to 105,431.85, 145,441.65 and 71,428.79

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Solution

The fourth proportional to 105,431.85, 145,441.65 and 71,428.79 is: 98,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,431.85 : 145,441.65 = 71,428.79 : x
  2. Step 2: Convert to fraction form
    105,431.85/145,441.65 = 71,428.79/x
  3. Step 3: Cross multiply
    105,431.85x = 145,441.65 × 71,428.79
  4. Step 4: Simplify right side
    105,431.85x = 10,388,720,687.56
  5. Step 5: Solve for x
    x = 10,388,720,687.56/105,431.85
  6. Step 6: Final answer
    x = 98,534.93

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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.