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Finding the Fourth Proportional to 130,761.46, 180,383.88 and 85,465.99

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Solution

The fourth proportional to 130,761.46, 180,383.88 and 85,465.99 is: 117,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,761.46 : 180,383.88 = 85,465.99 : x
  2. Step 2: Convert to fraction form
    130,761.46/180,383.88 = 85,465.99/x
  3. Step 3: Cross multiply
    130,761.46x = 180,383.88 × 85,465.99
  4. Step 4: Simplify right side
    130,761.46x = 15,416,686,884.24
  5. Step 5: Solve for x
    x = 15,416,686,884.24/130,761.46
  6. Step 6: Final answer
    x = 117,899.32

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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.