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Finding the Fourth Proportional to 105,152.68, 145,112.89 and 57,408.04

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Solution

The fourth proportional to 105,152.68, 145,112.89 and 57,408.04 is: 79,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,152.68 : 145,112.89 = 57,408.04 : x
  2. Step 2: Convert to fraction form
    105,152.68/145,112.89 = 57,408.04/x
  3. Step 3: Cross multiply
    105,152.68x = 145,112.89 × 57,408.04
  4. Step 4: Simplify right side
    105,152.68x = 8,330,646,593.64
  5. Step 5: Solve for x
    x = 8,330,646,593.64/105,152.68
  6. Step 6: Final answer
    x = 79,224.29

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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.