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Finding the Fourth Proportional to 271,805.68, 407,547.53 and 82,208.58

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Solution

The fourth proportional to 271,805.68, 407,547.53 and 82,208.58 is: 123,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,805.68 : 407,547.53 = 82,208.58 : x
  2. Step 2: Convert to fraction form
    271,805.68/407,547.53 = 82,208.58/x
  3. Step 3: Cross multiply
    271,805.68x = 407,547.53 × 82,208.58
  4. Step 4: Simplify right side
    271,805.68x = 33,503,903,723.81
  5. Step 5: Solve for x
    x = 33,503,903,723.81/271,805.68
  6. Step 6: Final answer
    x = 123,264.18

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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.