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Finding the Fourth Proportional to 406,103.68, 609,293.96 and 121,801.17

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Solution

The fourth proportional to 406,103.68, 609,293.96 and 121,801.17 is: 182,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,103.68 : 609,293.96 = 121,801.17 : x
  2. Step 2: Convert to fraction form
    406,103.68/609,293.96 = 121,801.17/x
  3. Step 3: Cross multiply
    406,103.68x = 609,293.96 × 121,801.17
  4. Step 4: Simplify right side
    406,103.68x = 74,212,717,201.93
  5. Step 5: Solve for x
    x = 74,212,717,201.93/406,103.68
  6. Step 6: Final answer
    x = 182,743.28

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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.