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Finding the Fourth Proportional to 271,551.80, 407,164.08 and 121,764.98

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Solution

The fourth proportional to 271,551.80, 407,164.08 and 121,764.98 is: 182,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,551.80 : 407,164.08 = 121,764.98 : x
  2. Step 2: Convert to fraction form
    271,551.80/407,164.08 = 121,764.98/x
  3. Step 3: Cross multiply
    271,551.80x = 407,164.08 × 121,764.98
  4. Step 4: Simplify right side
    271,551.80x = 49,578,326,057.92
  5. Step 5: Solve for x
    x = 49,578,326,057.92/271,551.80
  6. Step 6: Final answer
    x = 182,574.10

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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.