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Finding the Fourth Proportional to 105,543.63, 145,650.39 and 57,146.04

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Solution

The fourth proportional to 105,543.63, 145,650.39 and 57,146.04 is: 78,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,543.63 : 145,650.39 = 57,146.04 : x
  2. Step 2: Convert to fraction form
    105,543.63/145,650.39 = 57,146.04/x
  3. Step 3: Cross multiply
    105,543.63x = 145,650.39 × 57,146.04
  4. Step 4: Simplify right side
    105,543.63x = 8,323,343,012.96
  5. Step 5: Solve for x
    x = 8,323,343,012.96/105,543.63
  6. Step 6: Final answer
    x = 78,861.63

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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.