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Finding the Fourth Proportional to 105,466.80, 145,544.24 and 57,720.12

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Solution

The fourth proportional to 105,466.80, 145,544.24 and 57,720.12 is: 79,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,466.80 : 145,544.24 = 57,720.12 : x
  2. Step 2: Convert to fraction form
    105,466.80/145,544.24 = 57,720.12/x
  3. Step 3: Cross multiply
    105,466.80x = 145,544.24 × 57,720.12
  4. Step 4: Simplify right side
    105,466.80x = 8,400,830,998.11
  5. Step 5: Solve for x
    x = 8,400,830,998.11/105,466.80
  6. Step 6: Final answer
    x = 79,653.80

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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.