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Finding the Fourth Proportional to 102,022.30, 153,033.45 and 74,374.30

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Solution

The fourth proportional to 102,022.30, 153,033.45 and 74,374.30 is: 111,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.30 : 153,033.45 = 74,374.30 : x
  2. Step 2: Convert to fraction form
    102,022.30/153,033.45 = 74,374.30/x
  3. Step 3: Cross multiply
    102,022.30x = 153,033.45 × 74,374.30
  4. Step 4: Simplify right side
    102,022.30x = 11,381,755,720.34
  5. Step 5: Solve for x
    x = 11,381,755,720.34/102,022.30
  6. Step 6: Final answer
    x = 111,561.45

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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.