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Finding the Fourth Proportional to 271,706.60, 407,577.90 and 72,024.20

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Solution

The fourth proportional to 271,706.60, 407,577.90 and 72,024.20 is: 108,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,706.60 : 407,577.90 = 72,024.20 : x
  2. Step 2: Convert to fraction form
    271,706.60/407,577.90 = 72,024.20/x
  3. Step 3: Cross multiply
    271,706.60x = 407,577.90 × 72,024.20
  4. Step 4: Simplify right side
    271,706.60x = 29,355,472,185.18
  5. Step 5: Solve for x
    x = 29,355,472,185.18/271,706.60
  6. Step 6: Final answer
    x = 108,041.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.