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Finding the Fourth Proportional to 271,868.16, 407,577.71 and 119,957.08

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Solution

The fourth proportional to 271,868.16, 407,577.71 and 119,957.08 is: 179,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,868.16 : 407,577.71 = 119,957.08 : x
  2. Step 2: Convert to fraction form
    271,868.16/407,577.71 = 119,957.08/x
  3. Step 3: Cross multiply
    271,868.16x = 407,577.71 × 119,957.08
  4. Step 4: Simplify right side
    271,868.16x = 48,891,831,964.69
  5. Step 5: Solve for x
    x = 48,891,831,964.69/271,868.16
  6. Step 6: Final answer
    x = 179,836.55

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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.