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Finding the Fourth Proportional to 105,309.30, 145,325.12 and 57,561.68

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Solution

The fourth proportional to 105,309.30, 145,325.12 and 57,561.68 is: 79,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309.30 : 145,325.12 = 57,561.68 : x
  2. Step 2: Convert to fraction form
    105,309.30/145,325.12 = 57,561.68/x
  3. Step 3: Cross multiply
    105,309.30x = 145,325.12 × 57,561.68
  4. Step 4: Simplify right side
    105,309.30x = 8,365,158,053.40
  5. Step 5: Solve for x
    x = 8,365,158,053.40/105,309.30
  6. Step 6: Final answer
    x = 79,434.18

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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.