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Finding the Fourth Proportional to 401,347.26, 602,109.63 and 135,099

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Solution

The fourth proportional to 401,347.26, 602,109.63 and 135,099 is: 202,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,347.26 : 602,109.63 = 135,099 : x
  2. Step 2: Convert to fraction form
    401,347.26/602,109.63 = 135,099/x
  3. Step 3: Cross multiply
    401,347.26x = 602,109.63 × 135,099
  4. Step 4: Simplify right side
    401,347.26x = 81,344,408,903.37
  5. Step 5: Solve for x
    x = 81,344,408,903.37/401,347.26
  6. Step 6: Final answer
    x = 202,678.37

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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.