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Finding the Fourth Proportional to 401,610.42, 602,032.91 and 135,233.82

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Solution

The fourth proportional to 401,610.42, 602,032.91 and 135,233.82 is: 202,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,610.42 : 602,032.91 = 135,233.82 : x
  2. Step 2: Convert to fraction form
    401,610.42/602,032.91 = 135,233.82/x
  3. Step 3: Cross multiply
    401,610.42x = 602,032.91 × 135,233.82
  4. Step 4: Simplify right side
    401,610.42x = 81,415,209,508.85
  5. Step 5: Solve for x
    x = 81,415,209,508.85/401,610.42
  6. Step 6: Final answer
    x = 202,721.86

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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.