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Finding the Fourth Proportional to 102,266.48, 153,480.72 and 43,142.96

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Solution

The fourth proportional to 102,266.48, 153,480.72 and 43,142.96 is: 64,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,266.48 : 153,480.72 = 43,142.96 : x
  2. Step 2: Convert to fraction form
    102,266.48/153,480.72 = 43,142.96/x
  3. Step 3: Cross multiply
    102,266.48x = 153,480.72 × 43,142.96
  4. Step 4: Simplify right side
    102,266.48x = 6,621,612,563.73
  5. Step 5: Solve for x
    x = 6,621,612,563.73/102,266.48
  6. Step 6: Final answer
    x = 64,748.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.