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Finding the Fourth Proportional to 105,607.56, 145,645.38 and 65,314.92

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Solution

The fourth proportional to 105,607.56, 145,645.38 and 65,314.92 is: 90,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,607.56 : 145,645.38 = 65,314.92 : x
  2. Step 2: Convert to fraction form
    105,607.56/145,645.38 = 65,314.92/x
  3. Step 3: Cross multiply
    105,607.56x = 145,645.38 × 65,314.92
  4. Step 4: Simplify right side
    105,607.56x = 9,512,816,343.07
  5. Step 5: Solve for x
    x = 9,512,816,343.07/105,607.56
  6. Step 6: Final answer
    x = 90,077.04

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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.