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Finding the Fourth Proportional to 105,224.90, 145,213.89 and 57,482.69

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Solution

The fourth proportional to 105,224.90, 145,213.89 and 57,482.69 is: 79,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,224.90 : 145,213.89 = 57,482.69 : x
  2. Step 2: Convert to fraction form
    105,224.90/145,213.89 = 57,482.69/x
  3. Step 3: Cross multiply
    105,224.90x = 145,213.89 × 57,482.69
  4. Step 4: Simplify right side
    105,224.90x = 8,347,285,022.56
  5. Step 5: Solve for x
    x = 8,347,285,022.56/105,224.90
  6. Step 6: Final answer
    x = 79,328.04

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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.