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Finding the Fourth Proportional to 130,920, 180,669.96 and 74,340.24

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Solution

The fourth proportional to 130,920, 180,669.96 and 74,340.24 is: 102,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,920 : 180,669.96 = 74,340.24 : x
  2. Step 2: Convert to fraction form
    130,920/180,669.96 = 74,340.24/x
  3. Step 3: Cross multiply
    130,920x = 180,669.96 × 74,340.24
  4. Step 4: Simplify right side
    130,920x = 13,431,048,187.19
  5. Step 5: Solve for x
    x = 13,431,048,187.19/130,920
  6. Step 6: Final answer
    x = 102,589.74

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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.