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Finding the Fourth Proportional to 105,378.14, 145,435.11 and 69,110.08

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Solution

The fourth proportional to 105,378.14, 145,435.11 and 69,110.08 is: 95,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,378.14 : 145,435.11 = 69,110.08 : x
  2. Step 2: Convert to fraction form
    105,378.14/145,435.11 = 69,110.08/x
  3. Step 3: Cross multiply
    105,378.14x = 145,435.11 × 69,110.08
  4. Step 4: Simplify right side
    105,378.14x = 10,051,032,086.91
  5. Step 5: Solve for x
    x = 10,051,032,086.91/105,378.14
  6. Step 6: Final answer
    x = 95,380.62

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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.