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Finding the Fourth Proportional to 180,649.50, 271,039.41 and 96,320.94

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Solution

The fourth proportional to 180,649.50, 271,039.41 and 96,320.94 is: 144,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,649.50 : 271,039.41 = 96,320.94 : x
  2. Step 2: Convert to fraction form
    180,649.50/271,039.41 = 96,320.94/x
  3. Step 3: Cross multiply
    180,649.50x = 271,039.41 × 96,320.94
  4. Step 4: Simplify right side
    180,649.50x = 26,106,770,748.25
  5. Step 5: Solve for x
    x = 26,106,770,748.25/180,649.50
  6. Step 6: Final answer
    x = 144,516.15

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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.