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Finding the Fourth Proportional to 105,164.96, 145,131 and 57,420.80

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Solution

The fourth proportional to 105,164.96, 145,131 and 57,420.80 is: 79,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.96 : 145,131 = 57,420.80 : x
  2. Step 2: Convert to fraction form
    105,164.96/145,131 = 57,420.80/x
  3. Step 3: Cross multiply
    105,164.96x = 145,131 × 57,420.80
  4. Step 4: Simplify right side
    105,164.96x = 8,333,538,124.80
  5. Step 5: Solve for x
    x = 8,333,538,124.80/105,164.96
  6. Step 6: Final answer
    x = 79,242.54

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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.