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Finding the Fourth Proportional to 102,022.70, 153,034.05 and 90,650.30

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Solution

The fourth proportional to 102,022.70, 153,034.05 and 90,650.30 is: 135,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.70 : 153,034.05 = 90,650.30 : x
  2. Step 2: Convert to fraction form
    102,022.70/153,034.05 = 90,650.30/x
  3. Step 3: Cross multiply
    102,022.70x = 153,034.05 × 90,650.30
  4. Step 4: Simplify right side
    102,022.70x = 13,872,582,542.72
  5. Step 5: Solve for x
    x = 13,872,582,542.72/102,022.70
  6. Step 6: Final answer
    x = 135,975.45

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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.