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Finding the Fourth Proportional to 105,224.96, 145,211.68 and 57,478.72

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Solution

The fourth proportional to 105,224.96, 145,211.68 and 57,478.72 is: 79,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,224.96 : 145,211.68 = 57,478.72 : x
  2. Step 2: Convert to fraction form
    105,224.96/145,211.68 = 57,478.72/x
  3. Step 3: Cross multiply
    105,224.96x = 145,211.68 × 57,478.72
  4. Step 4: Simplify right side
    105,224.96x = 8,346,581,495.45
  5. Step 5: Solve for x
    x = 8,346,581,495.45/105,224.96
  6. Step 6: Final answer
    x = 79,321.31

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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.