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Finding the Fourth Proportional to 130,723.67, 180,398.67 and 74,135.05

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Solution

The fourth proportional to 130,723.67, 180,398.67 and 74,135.05 is: 102,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,723.67 : 180,398.67 = 74,135.05 : x
  2. Step 2: Convert to fraction form
    130,723.67/180,398.67 = 74,135.05/x
  3. Step 3: Cross multiply
    130,723.67x = 180,398.67 × 74,135.05
  4. Step 4: Simplify right side
    130,723.67x = 13,373,863,518.39
  5. Step 5: Solve for x
    x = 13,373,863,518.39/130,723.67
  6. Step 6: Final answer
    x = 102,306.37

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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.