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Finding the Fourth Proportional to 120,560.40, 180,585.36 and 76,164.48

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Solution

The fourth proportional to 120,560.40, 180,585.36 and 76,164.48 is: 114,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,560.40 : 180,585.36 = 76,164.48 : x
  2. Step 2: Convert to fraction form
    120,560.40/180,585.36 = 76,164.48/x
  3. Step 3: Cross multiply
    120,560.40x = 180,585.36 × 76,164.48
  4. Step 4: Simplify right side
    120,560.40x = 13,754,190,040.01
  5. Step 5: Solve for x
    x = 13,754,190,040.01/120,560.40
  6. Step 6: Final answer
    x = 114,085.47

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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.