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Finding the Fourth Proportional to 271,533.84, 407,137.04 and 121,747.04

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Solution

The fourth proportional to 271,533.84, 407,137.04 and 121,747.04 is: 182,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,533.84 : 407,137.04 = 121,747.04 : x
  2. Step 2: Convert to fraction form
    271,533.84/407,137.04 = 121,747.04/x
  3. Step 3: Cross multiply
    271,533.84x = 407,137.04 × 121,747.04
  4. Step 4: Simplify right side
    271,533.84x = 49,567,729,494.36
  5. Step 5: Solve for x
    x = 49,567,729,494.36/271,533.84
  6. Step 6: Final answer
    x = 182,547.15

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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.