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Finding the Fourth Proportional to 180,706.68, 271,057.32 and 56,047.68

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Solution

The fourth proportional to 180,706.68, 271,057.32 and 56,047.68 is: 84,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,706.68 : 271,057.32 = 56,047.68 : x
  2. Step 2: Convert to fraction form
    180,706.68/271,057.32 = 56,047.68/x
  3. Step 3: Cross multiply
    180,706.68x = 271,057.32 × 56,047.68
  4. Step 4: Simplify right side
    180,706.68x = 15,192,133,933.02
  5. Step 5: Solve for x
    x = 15,192,133,933.02/180,706.68
  6. Step 6: Final answer
    x = 84,070.68

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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.