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Finding the Fourth Proportional to 105,090.38, 145,025.10 and 57,344.78

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Solution

The fourth proportional to 105,090.38, 145,025.10 and 57,344.78 is: 79,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,090.38 : 145,025.10 = 57,344.78 : x
  2. Step 2: Convert to fraction form
    105,090.38/145,025.10 = 57,344.78/x
  3. Step 3: Cross multiply
    105,090.38x = 145,025.10 × 57,344.78
  4. Step 4: Simplify right side
    105,090.38x = 8,316,432,453.98
  5. Step 5: Solve for x
    x = 8,316,432,453.98/105,090.38
  6. Step 6: Final answer
    x = 79,136.00

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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.